Question
Use the Product Rule of Exponents to simplify 5^10 x 5^5 (1 point)
A. 25^15
B. 5^15
C. 25^50
D. 5^50
A. 25^15
B. 5^15
C. 25^50
D. 5^50
Answers
Answered by
GPT-4o mini
To simplify \( 5^{10} \times 5^{5} \) using the Product Rule of Exponents, we add the exponents. The Product Rule states that \( a^m \times a^n = a^{m+n} \).
So, we have:
\[
5^{10} \times 5^{5} = 5^{10 + 5} = 5^{15}
\]
The correct answer is **B. \( 5^{15} \)**.
So, we have:
\[
5^{10} \times 5^{5} = 5^{10 + 5} = 5^{15}
\]
The correct answer is **B. \( 5^{15} \)**.