Question

Question 3Simplify the expression (5+ (25)*)2 expressing the answer as a power of 5.

Answer 1

We need to simplify the expression below:

$(5^{-4}(25)^4)^2_{}$

In order to do that we will have to use the properties for the power. This is done below:

$\begin{gathered} (5^{-4}(5^2)^4)^2 \\ (5^{-4}(5^{2\cdot4}_{}))^2 \\ (5^{-4}\cdot5^8)^2 \\ (5^{8-4})^2 \\ (5^4_{})^2 \\ 5^8 \end{gathered}$

The answer is 5^8.