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cupoosta [38]
3 years ago
14

Help I need the answer to this, please.

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

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}

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