Question

Which expression is equivalent to (4x)3
?(1 point)
Responses

43
+ x3
43 + x3

43
⋅ x3
43 ⋅ x3

4x3
4x3

43
x

Answer 1

To simplify the expression \((4x)^3\), you can use the property of exponents that states \((ab)^n = a^n \cdot b^n\).

So, we have:

\[
(4x)^3 = 4^3 \cdot x^3
\]

Calculating \(4^3\) gives us \(64\), so:

\[
(4x)^3 = 64x^3
\]

None of the given answers seem to represent \(64x^3\) directly, but the correct choice from the provided responses would be:

- \(4^3 \cdot x^3\)

This can also be interpreted as:

- \(64 \cdot x^3\) (which is what \(4^3 \cdot x^3\) simplifies to).

Thus, the best option is:

**\(4^3 \cdot x^3\)**.