How do you simplify $\frac { 2.3\times 10^ { 4} } { 2.0\times 10^ { - 3} }$ ?

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Answer 1 · 2017-09-03T05:47:21

$1.15 * 10^7$

Remember that powers divided by each other are subtracted:

$a^m/a^n = a^(m-n)$

So something that I like to do is that I section off the powers from the numbers, to make the calculations easier.

First I do calculations with the powers:
$10^4/10^-3$

$=10^(4--3)$

$=10^7$

Then, I do the calculations with the numbers:

$=2.3/2.0 * 10^7$

$=1.15 * 10^7$

Hope this helps!

How do you simplify \frac { 2.3\times 10^ { 4} } { 2.0\times 10^ { - 3} }\frac { 2.3\times 10^ { 4} } { 2.0\times 10^ { - 3} }?