Use the Product Rule of Exponents to simplify 510

Question

•55 (1 point)
О 2550
O 515
© 2515
O 550

Answer 1

To simplify \( 5^{10} \cdot 5^{5} \) using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can add the exponents of the same base:

\[ 5^{10} \cdot 5^{5} = 5^{10 + 5} = 5^{15} \]

So the simplified form is \( 5^{15} \).

Thus, the answer is \( \boxed{2515} \).