Which of the following correctly used the Power Rule of Exponents in the expression (109)7?(1 point)

Question

Which of the following correctly used the Power Rule of Exponents in the expression (109)7?(1 point)

Responses

907
90 superscript 7 baseline

102
10 superscript 2 baseline

1063
10 superscript 63 baseline

1016
10 superscript 16 baseline

Answer 1

In the expression (109)7, the base is 10 and the exponent is 9. To correctly apply the Power Rule of Exponents, you multiply the exponents.

So, (109)7 = 10(9*7) = 10^63.

Therefore, the correct answer is 10 superscript 63 baseline.

Answer 2

To use the Power Rule of Exponents, we raise the base to the power of the exponent. In this case, the base is 10 and the exponent is 7.

To calculate (10^9)^7, we need to multiply the exponents because of the Power Rule.

So, 10^(9*7) = 10^63.

Therefore, the correct answer is 10 superscript 63 baseline.

Answer 3

The correct answer is 1063. The Power Rule of Exponents states that (a^m)^n = a^(mn). In the expression (10^9)^7, the base is 10 and the exponent is 97 = 63. So, the expression simplifies to 10^63.

Which of the following correctly used the Power Rule of Exponents in the expression (109)7?(1 point)

In the expression (109)7, the base is 10 and the exponent is 9. To correctly apply the Power Rule of Exponents, you multiply the exponents.

To use the Power Rule of Exponents, we raise the base to the power of the exponent. In this case, the base is 10 and the exponent is 7.

The correct answer is 1063. The Power Rule of Exponents states that (a^m)^n = a^(m*n). In the expression (10^9)^7, the base is 10 and the exponent is 9*7 = 63. So, the expression simplifies to 10^63.

The correct answer is 1063. The Power Rule of Exponents states that (a^m)^n = a^(mn). In the expression (10^9)^7, the base is 10 and the exponent is 97 = 63. So, the expression simplifies to 10^63.