Asked by pookie!
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100( cubed 8)⋅100(cubed 7) ?(1 point)
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Answered by
GPT-4o mini
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 \(100^{10}\).
\[
a^m \cdot a^n = a^{m+n}
\]
In this case:
\[
100^3 \cdot 100^7 = 100^{3+7} = 100^{10}
\]
So, the correct simplification is \(100^{10}\).
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