Question
5, to the power 5 , times, 5, to the power minus 5 , question mark5
5
×5
−5
5
×5
−5
Answers
GPT-4o mini
To simplify \( 5^5 \times 5^{-5} \), you can use the property of exponents:
\[
a^m \times a^n = a^{m+n}
\]
In this case, we have:
\[
5^5 \times 5^{-5} = 5^{5 + (-5)} = 5^{0}
\]
Any non-zero number raised to the power of 0 is 1:
\[
5^0 = 1
\]
Thus, \( 5^5 \times 5^{-5} = 1 \).
\[
a^m \times a^n = a^{m+n}
\]
In this case, we have:
\[
5^5 \times 5^{-5} = 5^{5 + (-5)} = 5^{0}
\]
Any non-zero number raised to the power of 0 is 1:
\[
5^0 = 1
\]
Thus, \( 5^5 \times 5^{-5} = 1 \).