3.00 x 10^8 / 6.50 x 10^-7 the result is 4.61 x 10^14 my question is how 10^8 / 10^-7 = 10^14? thank u

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3.00 x 10^8 / 6.50 x 10^-7

4.61 x 10^14

my question is how 10^8 / 10^-7 = 10^14?

thank u

Guest Nov 21, 2014

+118703

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Best Answer

3.00 x 10^8 / 6.50 x 10^-7

4.61 x 10^14

my question is how 10^8 / 10^-7 = 10^14? IT DOES NOT!

$\\(3\times 10^8)/(6.5\times 10^{-7})\\\\ =(3/6.5)\times 10^8/10^{-7}\\\\ =0.4615\times 10^{8--7}\\\\ =0.4615\times 10^{15}\\\\$

BUT this answer is to be in scientific notation so there mus be just one non-zero number in front of the point

$\\=4.4615\times 10^{-1} \times 10^{15}\\\\ =4.4615\times 10^{14}\qquad \mbox{Correct to 4 significant figures}\\\\$

So does that all make sense now?

Melody Nov 21, 2014

Melody · Answer 1 · 2014-11-21T04:30:24

3.00 x 10^8 / 6.50 x 10^-7

4.61 x 10^14

my question is how 10^8 / 10^-7 = 10^14? IT DOES NOT!

$\\(3\times 10^8)/(6.5\times 10^{-7})\\\\ =(3/6.5)\times 10^8/10^{-7}\\\\ =0.4615\times 10^{8--7}\\\\ =0.4615\times 10^{15}\\\\$

BUT this answer is to be in scientific notation so there mus be just one non-zero number in front of the point

$\\=4.4615\times 10^{-1} \times 10^{15}\\\\ =4.4615\times 10^{14}\qquad \mbox{Correct to 4 significant figures}\\\\$

So does that all make sense now?

Melody · Answer 2 · 2014-11-21T04:33:35

That was a good question anon