Question

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

Answer 1

Answer:

8

Step-by-step explanation:

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

$(\frac{10^4*5^2}{10^3*5^3})^3$

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:

$(\frac{10}{5})^3$

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