Question

Apply the Power Rule of Exponents to form an equivalent expression of (2^6)^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To apply the Power Rule of Exponents, you multiply the exponents.

Using the Power Rule of Exponents, we can rewrite the expression (2^6)^2 as 2^(6*2).

Simplifying the exponent, 6*2 = 12, the equivalent expression becomes 2^12.

Answer 2

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

To simplify the expression (2^6)^2 using the power rule of exponents, we can multiply the exponents. The power rule states that when you raise an exponent to another exponent, you multiply the exponents.

(2^6)^2 = 2^(6*2) = 2^12

Therefore, an equivalent expression of (2^6)^2 is 2^12.

Answer 3

[AI-generated answer — Explain Bot]

To apply the Power Rule of Exponents to form an equivalent expression of (2^6)^2, we need to multiply the exponents together.

First, let's simplify (2^6)^2 step by step:

Step 1: Start with the inner exponent, 2^6.
- Applying the Power Rule of Exponents, we multiply the exponents: 2^6 = 2^(6*1) = 2^6.

Step 2: Now, we have (2^6)^2, which means we need to raise the base 2^6 to the exponent 2.
- Applying the Power Rule of Exponents, we multiply the exponents: (2^6)^2 = 2^(6*2) = 2^12.

Therefore, the equivalent expression of (2^6)^2 is 2^12.