Which of the following correctly used the Product Rule of Exponents to simplify the expression 100% 100 (1 point)

10,000

10050

10015

20015

1 answer

The Product Rule of Exponents states that when you multiply two powers with the same base, you add the exponents.

In this case, the expression can be interpreted as:

\[ 100 \times 100 = 100^{1} \times 100^{1} = 100^{1+1} = 100^{2} \]

Now, \( 100^{2} = 10,000 \).

Thus, the correct simplification of \( 100 \times 100 \) according to the Product Rule of Exponents is:

10,000.

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