Using the Power Rule of Exponents, what is the exponent of (7^2)^2 in exponential simplest form if the base remains 7?
To simplify the expression (7^2)^2 using the power rule of exponents, we multiply the exponents.
The power rule states that (a^m)^n = a^(m*n).
In this case, the base is 7 and the exponent is (2 * 2) = 4.
Therefore, the exponent of (7^2)^2 can be simplified to 7^4.
Idk man
I apologize for the confusion. Let's work through it step by step.
We have the expression (7^2)^2. According to the power rule of exponents, we multiply the exponents when we have an exponent raised to another exponent.
The first exponent is 2, and we're raising it to the power of 2. So, we have 2 * 2 = 4.
Therefore, the exponent of (7^2)^2 is 4.
So 4? thank you its correct
Yes, that's correct! The exponent of (7^2)^2 is 4. You're welcome! If you have any more questions, feel free to ask.
What is the exponent in an equivalent form of the expression (8^3)^3 ?
To find the exponent in an equivalent form of the expression (8^3)^3, we use the power rule of exponents.
According to the power rule, when we have an exponent raised to another exponent, we multiply the exponents. In this case, we're raising 8 to the power of 3, and then raising that result to the power of 3.
So, we have 3 * 3 = 9.
Therefore, the exponent in an equivalent form of the expression (8^3)^3 is 9.
Applying the Power Rule of Exponents, what is the exponent in an equivalent form of ((1/6)^3)^3 ? Answer with a whole number for the exponent where the base is 1/6
To find the exponent in an equivalent form of the expression ((1/6)^3)^3, we'll use the power rule of exponents.
According to the power rule, when we have an exponent raised to another exponent, we multiply the exponents. In this case, the base is 1/6, and we're raising it to the power of 3, and then raising that result to the power of 3.
So, we have 3 * 3 = 9.
Therefore, the exponent in an equivalent form of the expression ((1/6)^3)^3 is 9.