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

#1**+5 **

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

#1**+5 **

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