gibsonj338

$${{\mathtt{0}}}^{{\mathtt{0}}}$$

$${\mathtt{ERROR}}$$

$${{\mathtt{0}}}^{{\mathtt{0}}} = \underset{{\tiny{\text{Error: indeterminante}}}}{{{\mathtt{0}}}^{{\mathtt{0}}}}$$

$${\frac{{\mathtt{2}}}{{\mathtt{9}}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{9}}}}\right)$$

$${\frac{{\mathtt{2}}}{{\mathtt{81}}}}$$

$${\mathtt{0.024\: \!691\: \!358\: \!024\: \!691\: \!4}}$$...

$${\mathtt{y}}{\mathtt{\,\times\,}}{\mathtt{5\,412\,687\,930.023\: \!56}} = {\mathtt{2\,341\,235\,239\,278\,390\,278\,238\,373}}$$

$${\mathtt{y}} = {\frac{{\mathtt{2\,341\,235\,239\,278\,390\,278\,238\,373}}}{{\mathtt{5\,412\,687\,930.023\: \!56}}}}$$

$${\mathtt{y}} = {\mathtt{432\,545\,764\,608\,343.030\: \!784\: \!004\: \!655\: \!926}}$$...

$${\sqrt{{\mathtt{3}}}}$$

$${\sqrt{{\mathtt{3}}}}$$ or $${\mathtt{1.732\: \!050\: \!807\: \!568\: \!877\: \!3}}$$...

$${\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{729}}}}$$

$${\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}}}$$

$${\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{3}}$$

$${\mathtt{9}}$$

$${\sqrt[{{\mathtt{{\mathtt{3}}}}}]{{\mathtt{729}}}} = {\mathtt{9}}$$

$${\mathtt{30.44}}{\mathtt{\,\small\textbf+\,}}{\mathtt{28.07}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{95.45}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{11.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30.99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{58.51}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{95.45}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{11.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30.99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{68.46}}{\mathtt{\,\small\textbf+\,}}{\mathtt{95.45}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{11.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30.99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{163.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{11.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30.99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{171.86}}{\mathtt{\,\small\textbf+\,}}{\mathtt{11.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30.99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{183.81}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30.99}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{214.8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.91}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{231.71}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{257.66}}{\mathtt{\,\small\textbf+\,}}{\mathtt{20.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{278.56}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{282.31}}{\mathtt{\,\small\textbf+\,}}{\mathtt{83.75}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{366.06}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.95}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{374.01}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{427.27}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15.9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{443.17}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{503.67}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80.7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{584.37}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{619.85}}{\mathtt{\,\small\textbf+\,}}{\mathtt{53.48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{673.33}}{\mathtt{\,\small\textbf+\,}}{\mathtt{22}}$$

$${\mathtt{695.33}}$$

First Problem

$${\mathtt{3.5}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{7}}}$$

$${\mathtt{3.5}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}$$

$${\mathtt{35}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}$$

$${\mathtt{350}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}$$

$${\mathtt{3\,500}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}$$

$${\mathtt{35\,000}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}$$

$${\mathtt{350\,000}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}$$

$${\mathtt{3\,500\,000}}{\mathtt{\,\times\,}}{\mathtt{10}}$$

$${\mathtt{35\,000\,000}}$$

Second Problem

$${\mathtt{6}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{-{\mathtt{3}}}$$

$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{{\mathtt{10}}}^{{\mathtt{3}}}}}\right)$$

$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{\left({\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}\right)$$

$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{\left({\mathtt{100}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}\right)$$

$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{1\,000}}}}\right)$$

$${\frac{{\mathtt{6}}}{{\mathtt{1\,000}}}}$$

$${\frac{{\mathtt{3}}}{{\mathtt{500}}}}$$

$${\mathtt{0.006}}$$

First Way:

$${\frac{{\mathtt{2}}}{{\mathtt{13}}}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{10}}$$

$${\frac{{\mathtt{2}}}{{\mathtt{13}}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{13}}}{{\mathtt{2}}}}\right){\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{10}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{13}}}{{\mathtt{2}}}}\right)$$

$${\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\frac{{\mathtt{130}}}{{\mathtt{2}}}}$$

$${\mathtt{x}} = {\frac{{\mathtt{130}}}{{\mathtt{2}}}}$$

$${\mathtt{x}} = {\mathtt{65}}$$

Second Way:

$${\frac{{\mathtt{2}}}{{\mathtt{13}}}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{10}}$$

$${\frac{{\frac{{\mathtt{2}}}{{\mathtt{13}}}}}{\left({\frac{{\mathtt{2}}}{{\mathtt{13}}}}\right)}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\frac{{\mathtt{10}}}{\left({\frac{{\mathtt{2}}}{{\mathtt{13}}}}\right)}}$$

$${\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\frac{{\mathtt{10}}}{\left({\frac{{\mathtt{2}}}{{\mathtt{13}}}}\right)}}$$

$${\mathtt{x}} = {\mathtt{10}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{13}}}{{\mathtt{2}}}}\right)$$

$${\mathtt{x}} = {\frac{{\mathtt{130}}}{{\mathtt{2}}}}$$

$${\mathtt{x}} = {\mathtt{65}}$$

Factors of $${\mathtt{89}}$$: $${\mathtt{1}}$$ , $${\mathtt{89}}$$

Factors of $${\mathtt{113}}$$: $${\mathtt{1}}$$ , $${\mathtt{113}}$$

Factors of $${\mathtt{73}}$$: $${\mathtt{1}}$$ , $${\mathtt{73}}$$

The number they all have in common is $${\mathtt{1}}$$ which means the greatest common factor of $${\mathtt{89}}$$, $${\mathtt{113}}$$, and $${\mathtt{73}}$$ is $${\mathtt{1}}$$.

It depends on a lot of factors.  The person: where they live and how much he/she eats.  If the person lives at home with their parents, chances are he/she is not paying anything for groceries.  If the person lives on his/her own, if he/she lives in a rich neighborhood, the grocies could be quite expensive compared to a middle of the road neighborhood where the groceries could be a lot less expensive.  Once that is figured out, it depends on what he/she buys.  People who live in the same community, most likely do not buy the same things even though the prices in the grovery store are the same and people who live in different neighborhoods might buy the same things but one grocery store's prices could be higher that the other grocery store's and vice virsa.

I live in a moderate neighborhood in downtown Beaverton, Oregon, USA and I usually spend between $300 and $400 a month on groceries.