Question

Which is the value of the expression ((10^4)(5^2)/(10^3)(5^3))^3

Answer 1

8

Explanation:

Let's set this up to see if we can simplify it a bit:

`((10^4*5^2)/(10^3*5^3))^3`

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:

`((10)/(5))^3`

10 divided by 5 is 2, and 2 cubed is 8