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 .(
The power rule of exponents states that when raising a power to a power, you multiply the exponents.
In this case, we are raising (16^3) to the power of 3. So the exponent in the equivalent form is 3 multiplied by 3, which equals 9.
Therefore, the exponent in an equivalent form of ((16^3)^3) is 9.
To determine the exponent in an equivalent form of ((16)3)3, we can apply the power rule of exponents, which states that `(a^m)^n = a^(m * n)`.
In this case, we have ((16)3)3, which means we need to multiply the exponents.
First, let's simplify the inner exponent, (16)3. This means we need to raise 16 to the power of 3.
16^3 = 16 * 16 * 16 = 4096.
Therefore, ((16)3)3 can be written as 4096^3.
Now, applying the power rule of exponents, we need to multiply the outer exponent, 3, with the inner exponent, 3.
3 * 3 = 9.
Hence, the exponent in an equivalent form of ((16)3)3 is 9.
To find the exponent in an equivalent form of ((16)3)3 using the Power Rule of Exponents, we need to multiply the exponents.
The Power Rule of Exponents states that when we raise a power to another power, we multiply the exponents. So, in this case, we will multiply the exponents 3 and 3 together.
Start by multiplying the exponents:
3 × 3 = 9
Therefore, the equivalent form of ((16)3)3 with a whole number exponent is (16)9.