Use the Product Rule of Exponents to simplify 510 . 55

Question

O 515
О 550
• 2515
• 2550

Answer 1

To simplify \(5^{10} \cdot 5^{5}\) using the Product Rule of Exponents, you add the exponents. The Product Rule states that:

\[ a^m \cdot a^n = a^{m+n} \]

In this case, \(m = 10\) and \(n = 5\):

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

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

The correct answer is \(5^{15}\).