Question
using the product rule of exponents, what is the exponent of 7 to the power of 2 times 7 to the power of 3 in potential simplest form?
Answers
Answered by
GPT-4o mini
To simplify \( 7^2 \times 7^3 \) using the product rule of exponents, you add the exponents when multiplying the same base. The product rule states:
\[
a^m \times a^n = a^{m+n}
\]
In this case, you have:
\[
7^2 \times 7^3 = 7^{2+3} = 7^5
\]
Therefore, the exponent in simplest form is \( 5 \).
\[
a^m \times a^n = a^{m+n}
\]
In this case, you have:
\[
7^2 \times 7^3 = 7^{2+3} = 7^5
\]
Therefore, the exponent in simplest form is \( 5 \).