what is 3.5 times 10 to the 7the power and 6.0 times 10 to the negative 3 power
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 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
$${\mathtt{6}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{-{\mathtt{3}}}$$
$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{{\mathtt{10}}}^{{\mathtt{3}}}}}\right)$$
$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{\left({\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}\right)$$
$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{\left({\mathtt{100}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}\right)$$
$${\mathtt{6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{1\,000}}}}\right)$$
$${\frac{{\mathtt{6}}}{{\mathtt{1\,000}}}}$$
$${\frac{{\mathtt{3}}}{{\mathtt{500}}}}$$
$${\mathtt{0.006}}$$