which of the following correctly used the power rule of exponents in the expression (10^9)^7?
10^63
90^7
10^16
10^2
The correct answer is (10^9)^7 = 10^(9*7) = 10^63
The correct answer is 10^63.
To apply the power rule of exponents to the expression (10^9)^7, you need to multiply the exponent outside the parentheses with the exponent inside the parentheses.
In this case, the exponent outside the parentheses is 7, and the exponent inside the parentheses is 9. Multiplying them together gives us 7 * 9 = 63.
Therefore, (10^9)^7 simplifies to 10^63.
To correctly use the power rule of exponents in the expression (10^9)^7, we need to multiply the exponents.
The power rule states that when raising a power to another exponent, we multiply the exponents together. In this case, we have (10^9)^7.
So, we need to multiply 9 (the exponent of 10) by 7 (the exponent of (10^9)).
9 x 7 = 63
Therefore, the correct answer is 10^63.