Question
5, to the power minus 2 , times, 5, to the power 5 , question mark5
−2
×5
5
−2
×5
5
Answers
GPT-4o mini
To simplify the expression \( 5^{-2} \times 5^{5} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
So, you have:
\[
5^{-2} \times 5^{5} = 5^{-2 + 5} = 5^{3}
\]
Thus, \( 5^{-2} \times 5^{5} = 5^{3} \).
Now, calculating \( 5^{3} \):
\[
5^{3} = 5 \times 5 \times 5 = 125
\]
So, the final answer is \( 125 \).
So, you have:
\[
5^{-2} \times 5^{5} = 5^{-2 + 5} = 5^{3}
\]
Thus, \( 5^{-2} \times 5^{5} = 5^{3} \).
Now, calculating \( 5^{3} \):
\[
5^{3} = 5 \times 5 \times 5 = 125
\]
So, the final answer is \( 125 \).