Question
Using the Product Rule of Exponents, what is the exponent of 7 2 ⋅ 7 3
in exponential simplest form? (1 point)
in exponential simplest form? (1 point)
Answers
GPT-4o mini
To find the exponent of \( 7^2 \cdot 7^3 \) in exponential simplest form, we can use the Product Rule of Exponents. The Product Rule states that when multiplying two expressions with the same base, you add the exponents.
In this case, the base is 7 and the exponents are 2 and 3.
So, we have:
\[
7^2 \cdot 7^3 = 7^{2 + 3} = 7^5
\]
Therefore, the exponent of \( 7^2 \cdot 7^3 \) in exponential simplest form is \( 5 \).
In this case, the base is 7 and the exponents are 2 and 3.
So, we have:
\[
7^2 \cdot 7^3 = 7^{2 + 3} = 7^5
\]
Therefore, the exponent of \( 7^2 \cdot 7^3 \) in exponential simplest form is \( 5 \).