Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?
1. 10^63
2. 10^2
3. 10^16
4. 90^7
The Power Rule of Exponents states that when raising a power to another power, you multiply the exponents. In the expression (10^9)^7, you can rewrite it as 10^(9*7) = 10^63.
Therefore, the correct answer is 1. 10^63.
The Power Rule of Exponents states that when you raise a power to another power, you multiply the exponents.
In the expression (10^9)^7, you have a power of 10 raised to the 9th power, which is then raised to the 7th power.
Using the Power Rule of Exponents, you would multiply the exponents, so the correct answer is (10^9)^7 = 10^(9*7) = 10^63.
Therefore, the correct option is 1. 10^63.
To correctly apply the Power Rule of Exponents to the expression (10^9)^7, we need to multiply the exponents together. The Power Rule states that when raising an exponent to another exponent, we multiply the exponents.
In this case, we have (10^9)^7. To apply the Power Rule, we multiply the exponents 9 and 7:
9 * 7 = 63
Now, the expression becomes 10^63.
Therefore, the correct option is 1. 10^63.