Answer:
The simplified fraction of the expression [tex]\frac{5^2\times 5^{-4}}{5}[/tex] will be:
- [tex]\frac{5^2\times \:5^{-4}}{5}=\frac{1}{125}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{5^2\times 5^{-4}}{5}[/tex]
Steps to solve the expression
[tex]\frac{5^2\times 5^{-4}}{5}=\frac{5^{-2}}{5}[/tex] ∵ [tex]5^2\times \:5^{-4}=5^{2-4}[/tex]
[tex]=\frac{1}{5^3}[/tex]
[tex]=\frac{1}{125}[/tex] ∵ [tex]5^3=125[/tex]
Therefore, the simplified fraction of the expression [tex]\frac{5^2\times 5^{-4}}{5}[/tex] will be:
- [tex]\frac{5^2\times \:5^{-4}}{5}=\frac{1}{125}[/tex]
