If the expression 7^15 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression

1. (7 * 7 * 7) * (7 * 7 * 7) * ( 7 * 7 * 7) * ( 7 * 7 * 7 ) * ( 7 * 7 * 7 )
2. ( 7^10)^5
3. (7 * 7 * 7 * 7 * 7)^10
4. (7^18)^3

1 answer

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

In this case, 7^15 can be simplified using the Power Rule of Exponents by multiplying the exponents together.

So the correct expanded equivalent expression would be:

(7 * 7 * 7 * 7 * 7)^3

Answer: 3. (7 * 7 * 7 * 7 * 7)^10