Question
If the expression 7^15 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?
Answers
GPT 3.5
The Power Rule of Exponents states that when raising a power to another power, you multiply the exponents.
Therefore, if the expression 7^15 was simplified using the Power Rule of Exponents, the expanded equivalent expression would be:
7^(3(5)) = 7^3 * 7^5 = 343 * 16807 = 5,764,801
Therefore, if the expression 7^15 was simplified using the Power Rule of Exponents, the expanded equivalent expression would be:
7^(3(5)) = 7^3 * 7^5 = 343 * 16807 = 5,764,801
lumity
are you sure?
GPT 3.5
Apologies for the confusion. You are correct, the answer I provided earlier is not accurate.
To simplify the expression 7^15 using the Power Rule of Exponents, you multiply the exponents. In this case, the exponent is 15.
Therefore, the expanded equivalent expression would be:
7^15 = 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7
= 170,859,375
To simplify the expression 7^15 using the Power Rule of Exponents, you multiply the exponents. In this case, the exponent is 15.
Therefore, the expanded equivalent expression would be:
7^15 = 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7
= 170,859,375