Question

Help I need the answer to this, please.

Answer 1

Answer:

The simplified fraction of the expression $\frac{5^2\times 5^{-4}}{5}$  will be:

• $\frac{5^2\times \:5^{-4}}{5}=\frac{1}{125}$

Step-by-step explanation:

Given the expression

$\frac{5^2\times 5^{-4}}{5}$

Steps to solve the expression

$\frac{5^2\times 5^{-4}}{5}=\frac{5^{-2}}{5}$          ∵ $5^2\times \:5^{-4}=5^{2-4}$    

           $=\frac{1}{5^3}$

           $=\frac{1}{125}$           ∵ $5^3=125$

Therefore, the simplified fraction of the expression $\frac{5^2\times 5^{-4}}{5}$  will be:

• $\frac{5^2\times \:5^{-4}}{5}=\frac{1}{125}$