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Answer :
The equivalent expression to 1/[tex]5^{-2[/tex] is 25.
The correct option is D.
What are Exponents and power?
Powers and indexes are other names for exponents. Exponent is the amount that reflects the power to which the number is raised, whereas power is an expression that represents repeated multiplication of the same number.
We have the expression: 1/[tex]5^{-2[/tex]
we know by the property of exponents that
[tex]a^{-m }= 1/a^m[/tex]
So, 1/[tex]5^{-2[/tex]
= 5²
= 5 x 5
= 25
Thus, the required solution is 25.
Learn more about exponents and power here:
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Here IS YOUR Answers...!!!
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↪The squaring of the number ..
↪(-1/5)^2 = 1/25
↪thus the answer is 1/25