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)
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.
To apply the power rule of exponents, we need to multiply the exponents.
In this case, we have ((16^3)^3).
To find the exponent in an equivalent form, we multiply the exponents together: 3 x 3 = 9.
Therefore, the exponent in an equivalent form of ((16^3)^3) is 9.
To find the exponent using the Power Rule of Exponents, we need to multiply the exponents.
Given ((16)3)3, we can rewrite this expression as 16^(3*3).
Simplifying the exponent, we have 16^9.
Therefore, the equivalent form of ((16)3)3 is 16^9.