Which od the following correctly used the power rule of exponents in the expression (10^(9))^(7) ?
10^(16)
10^(2)
10^(63)
90^(7)
The correct answer is 10^(63).
The power rule of exponents states that when raising a power to another power, you multiply the exponents. In this case, we have (10^(9))^(7), which means raising 10 to the power of 9 and then raising that result to the power of 7.
This can be simplified as 10^(9*7), which equals 10^(63).