We're glad you stopped by Evaluate the following expression tex frac 1 5 2 tex A tex frac 1 25 tex B 25 C tex frac 1 25 tex D. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
We start with the expression
[tex]$$
\frac{1}{5^{-2}}.
$$[/tex]
Recall that a negative exponent means the reciprocal of the base raised to the positive exponent. In other words,
[tex]$$
5^{-2} = \frac{1}{5^2} = \frac{1}{25}.
$$[/tex]
Substituting this back into the original expression gives:
[tex]$$
\frac{1}{5^{-2}} = \frac{1}{\frac{1}{25}}.
$$[/tex]
Dividing by a fraction is equivalent to multiplying by its reciprocal:
[tex]$$
\frac{1}{\frac{1}{25}} = 1 \times 25 = 25.
$$[/tex]
Thus, the final answer is:
[tex]$$
25.
$$[/tex]
[tex]$$
\frac{1}{5^{-2}}.
$$[/tex]
Recall that a negative exponent means the reciprocal of the base raised to the positive exponent. In other words,
[tex]$$
5^{-2} = \frac{1}{5^2} = \frac{1}{25}.
$$[/tex]
Substituting this back into the original expression gives:
[tex]$$
\frac{1}{5^{-2}} = \frac{1}{\frac{1}{25}}.
$$[/tex]
Dividing by a fraction is equivalent to multiplying by its reciprocal:
[tex]$$
\frac{1}{\frac{1}{25}} = 1 \times 25 = 25.
$$[/tex]
Thus, the final answer is:
[tex]$$
25.
$$[/tex]
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