Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7
Responses
10^2
10^63
90^7
10^16
The correct response is 10^63.
The Power Rule of Exponents states that (a^m)^n equals a^(m * n).
In this case, (10^9)^7 equals 10^(9 * 7) which 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 of Exponents states that when raising a power to another exponent, we can multiply the exponents.
Therefore, (10^9)^7 simplifies to 10^(9*7) or 10^63.
So the correct answer is 10^63.
To correctly simplify the expression (10^9)^7 using the Power Rule of Exponents, you need to multiply the exponents. The Power Rule states that when raising a power to another power, you multiply the exponents together.
In this case, the base is 10, and the exponent is 9.
Applying the Power Rule, we need to multiply 9 by 7:
9 * 7 = 63.
Therefore, the correct simplification using the Power Rule of Exponents is 10^63.
So, the correct response is "10^63".