Exponent Rules Unit Test

Question

1 of 151 of 15 Items
Question
Use the Product Rule of Exponents to simplify 510⋅55(1 point)
Responses

2515
25 superscript 15 baseline

550
5 superscript 50 baseline

515
5 superscript 15 baseline

2550

Answer 1

To simplify \( 5^{10} \cdot 5^{5} \) using the Product Rule of Exponents, you add the exponents when multiplying expressions with the same base.

So:

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

The correct response is:

5 superscript 15 baseline (515).