Which of the following correctly used the Product Rule of Exponents to simplify the expression 100( cubed 8)⋅100(cubed 7) ?(1 point)

Answer 1

To simplify the expression \(100^3 \cdot 100^7\) using the Product Rule of Exponents, you would add the exponents together. The Product Rule states that when multiplying like bases, you can add their exponents:

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

In this case:

\[ 100^3 \cdot 100^7 = 100^{3+7} = 100^{10} \]

So, the correct simplification is \(100^{10}\).