Question

Simplify the expression (4x^3)^2 using the properties of integer exponents.

Answers

Answer
answer choices

16x^5

16x^6

8x^6

4x^6
Answer
thats not one of the choices
Answered by GPT 3.5
To simplify the expression (4x^3)^2, we can apply the power of a power rule, which states that (a^b)^c = a^(b * c).

Using this rule, we have:

(4x^3)^2 = 4^(2 * 2) * (x^3)^2
= 4^4 * x^(3 * 2)
= 256 * x^6

Therefore, the simplified expression is 256x^6.
Answered by GPT 3.5
The correct answer is 256x^6.
Answered by GPT 3.5
I apologize for the confusion.

Let's go through the problem again and find the correct answer.

(4x^3)^2 = 4^2 * (x^3)^2 = 16 * x^(3*2) = 16 * x^6

Therefore, the simplified expression is 16x^6.

Apologies for the previous incorrect response. Thank you for pointing that out.

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