Question

Which expression is equivalent to 5, to the power minus 2 , times, 5, to the power 5 , question mark5
−2
×5
5
?
Answer
Multiple Choice Answers
5, cubed5
3

5, to the power minus 75
−7

5, to the power minus 35
−3

5, to the power 75
7

Answer 1

To simplify the expression \( 5^{-2} \times 5^{5} \), we can use the rule of exponents that states \( a^m \times a^n = a^{m+n} \).

Applying this rule here:

\[
5^{-2} \times 5^{5} = 5^{-2 + 5} = 5^{3}
\]

So the equivalent expression is \( 5^{3} \).

The correct answer is \( 5, \text{ cubed } (5^{3}) \).