Simplify the expression (4x^3)^2 using the properties of integer exponents.
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.
answer choices
16x^5
16x^6
8x^6
4x^6
The correct answer is 256x^6.
thats not one of the choices
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.