Applying the Power Rule of Exponents, what is the exponent in an equivalent form of ((16)3)3 ? Answer with a whole number for the exponent where the base is 16 .(1 point)

5 answers

The Power Rule of Exponents states that (a^m)^n = a^(m*n).

In this case, the base is 16 and the exponent is 3. Applying the Power Rule, we have (16^3)^3 = 16^(3*3) = 16^9.

Therefore, the exponent in an equivalent form is 9.
Using the Power Rule of Exponents, what is the exponent of (72)2 in exponential simplest form if the base remains 7?(1 point)
The Power Rule of Exponents states that (a^m)^n = a^(m*n).

In this case, the base is 7 and the exponent is 2. Applying the Power Rule, we have (7^2) = 7^(2*1) = 7^2.

Therefore, the exponent of (72)2 in exponential simplest form, when the base remains 7, is 2.
WRONG
I apologize for the mistake.

Using the Power Rule of Exponents, we can simplify (72)^2 as (7^2)^2.

Applying the Power Rule, we have (7^2)^2 = 7^(2*2) = 7^4.

Therefore, the exponent of (72)^2 in exponential simplest form, while the base remains 7, is 4.