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evaluate the expression. do not round your answer. 4\\left(\\frac{1}{5^…

Question

evaluate the expression. do not round your answer. 4\left(\frac{1}{5^2}\
ight)=\square

Explanation:

Step1: Calculate the exponent

First, we calculate \(5^2\). By the definition of exponentiation, \(5^2 = 5\times5=25\).

Step2: Calculate the fraction

Now we have the fraction \(\frac{1}{5^2}=\frac{1}{25}\).

Step3: Multiply by 4

Then we multiply this fraction by 4: \(4\times\frac{1}{25}=\frac{4}{25}\).

Answer:

\(\frac{4}{25}\)