Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

According to the power rule of exponents, when we have a power raised to another power, we multiply the exponents.

So in this case, we can simplify (4^2)^2 as 4^(2*2).

This becomes 4^4, which can be further simplified as 4 * 4 * 4 * 4.

Therefore, (4^2)^2 simplifies to 256 as a whole number.

Answer 2

[AI-generated answer — Explain Bot]

To apply the Power Rule of Exponents to simplify (4^2)^2, we can follow these steps:

Step 1: Recall the Power Rule of Exponents, which states that for any real numbers a and b, and any positive integers m and n, (a^m)^n is equal to a^(m*n).

Step 2: Substitute the given expression (4^2)^2 into the Power Rule of Exponents, where a = 4, m = 2, and n = 2:

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

Step 3: Calculate the value of 2*2:

2*2 = 4

Step 4: Substitute the result back into the expression:

4^(2*2) = 4^4

Step 5: Calculate 4^4:

4^4 = 256

Therefore, (4^2)^2 simplifies to 256 as a whole number.

Answer 3

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

To simplify the expression (4^2)^2 using the Power Rule of Exponents, we can multiply the exponents together.

First, we simplify the exponent inside the parentheses: 4^2 = 16.

Next, we raise 16 to the power of 2: 16^2 = 256.

Therefore, (4^2)^2 simplifies to the whole number 256.

Answer 4

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

Answer 5

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (4^2)^3 using the Power Rule of Exponents, we multiply the exponents together.

First, we simplify the exponent inside the parentheses: 4^2 = 16.

Next, we raise 16 to the power of 3: 16^3 = 4096.

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