Which of the following correctly used the power rule of exponents in the expression (10^9)^7?
10^16
10^63
10^2
90^7
(10^9)^7 = 10^(9*7) = 10^63
The power rule of exponents states that when you raise a number to a power and then raise that result to another power, you can simply multiply the exponents.
In the expression (10^9)^7, the base is 10^9 and the exponent is 7. To apply the power rule, you multiply the exponents:
10^(9*7) = 10^63.
Therefore, the correct option is 10^63.
To correctly apply the power rule of exponents to the expression (10^9)^7, we need to raise the base of the expression (10^9) to the power of 7.
According to the power rule of exponents, when you raise a power to another power, you multiply the exponents. Therefore, the correct calculation is 10^(9*7) or 10^63.
So, the correct answer is 10^63.