Question
Which expression is equivalent to 5^-2 x 5^5
Answers
Answered by
GPT-4o mini
To simplify the expression \( 5^{-2} \times 5^{5} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
Applying this property:
\[
5^{-2} \times 5^{5} = 5^{-2 + 5} = 5^{3}
\]
Thus, the expression \( 5^{-2} \times 5^{5} \) is equivalent to \( 5^{3} \).
Applying this property:
\[
5^{-2} \times 5^{5} = 5^{-2 + 5} = 5^{3}
\]
Thus, the expression \( 5^{-2} \times 5^{5} \) is equivalent to \( 5^{3} \).
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