If the expression 7^15 was simplified using the power rule of exponents which of the following would be an expanded equivalent expression?

A. (7•7•7) • (7•7•7) • (7•7•7) • (7•7•7) • (7•7•7)
B. (7•7•7•7•7)^10
C. (7^18)^3
D. (7^10)^5

1 answer

The power rule of exponents states that when raising a power to another power, you multiply the exponents.

In this case, the expression 7^15 can be simplified using the power rule as (7^5)^3.

Therefore, the expanded equivalent expression would be (7•7•7•7•7)^3, which corresponds to option B. (7•7•7•7•7)^10.
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