Question

Apply the Power Rule of Exponents to simplify (4^2)^3 as a whole number.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Using the power rule of exponents, when raising a power to another power, we multiply the exponents together.

Therefore, we have:

(4^2)^3 = 4^(2*3) = 4^6

To simplify as a whole number, we calculate 4^6:

4^6 = 4 * 4 * 4 * 4 * 4 * 4 = 4096

Therefore, (4^2)^3 simplifies to the whole number 4096.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To apply the Power Rule of Exponents, we need to multiply the exponents together.

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

So, using the rule, we have:

(4^2)^3 = 4^(2*3)

Simplifying the exponent we get:

4^6

Thus, (4^2)^3 simplifies to 4^6 as a whole number.

Answer 3

[AI-generated answer — Explain Bot]

To simplify (4^2)^3 using the Power Rule of Exponents, we need to apply the rule that states: (a^m)^n = a^(m*n).

In this case, a = 4^2 and n = 3.

First, let's simplify 4^2.

4^2 means multiplying 4 by itself, so we have:

4^2 = 4 * 4 = 16

Now we can substitute 16 for 4^2 in the expression:

(4^2)^3 = 16^3

To simplify 16^3 as a whole number, we raise 16 to the power of 3:

16^3 = 16 * 16 * 16 = 4,096

Therefore, (4^2)^3 simplifies to 4,096.