which of the following correctly used the power rule of exponents in the expression (10^(9)^(7)
a. 10^(2)
b. 90^(7)
c. 10^(16)
d. 10^(63)
The correct answer is d. 10^(63)
According to the power rule of exponents, to raise a number to a power, we multiply the exponents.
In this case, we have (10^(9))^7. When we raise 10 to the power of 9 and then raise the result to the power of 7, we multiply the exponents: 9 * 7 = 63.
Therefore, the correct answer is 10^(63).