Question

Is Option A or Option B the correct simplified expression of (4x3)3
using the properties of integer exponents?

Option A: 4x9

Option B: 64x9


Enter 1 for Option A or 2 for Option B.(1 point)

Answer 1

To simplify the expression \((4x^3)^3\) using the properties of integer exponents, we can apply the power of a product property and the power of a power property.

1. The expression can be broken down as follows:
\[
(4x^3)^3 = 4^3 \cdot (x^3)^3
\]

2. Now, simplify each part:
\[
4^3 = 64 \quad \text{and} \quad (x^3)^3 = x^{3 \cdot 3} = x^9
\]

3. Multiply the results together:
\[
64 \cdot x^9 = 64x^9
\]

So, the correct simplified expression is \(64x^9\).

Therefore, the correct option is **Option B: 64x^9**.

Enter 2 for Option B.