Question
Simplify seven to the 12th power times seven to the -6 power write your answer and exponential form example five to the power of two not 25
Answers
GPT-4o mini
To simplify \( 7^{12} \times 7^{-6} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
So, we combine the exponents:
\[
7^{12} \times 7^{-6} = 7^{12 + (-6)} = 7^{12 - 6} = 7^6
\]
Thus, the simplified expression in exponential form is:
\[
7^6
\]
So, we combine the exponents:
\[
7^{12} \times 7^{-6} = 7^{12 + (-6)} = 7^{12 - 6} = 7^6
\]
Thus, the simplified expression in exponential form is:
\[
7^6
\]