QUESTION 29 Simplify $$ \left(4 x^{2}\right)^{3} $$ A $$ 4 x^{6} $$ B $$ 64 x^{6} $$ c $$ 4 x^{5} $$ D $$ 12 x^{6} $$

Question

UpStudy AI · Accepted Answer

To simplify $$\left(4 x^{2}\right)^{3}$$, follow these steps:

1. **Apply the exponent to both the coefficient and the variable:**
   $$
   \left(4 x^{2}\right)^{3} = 4^{3} \times \left(x^{2}\right)^{3}
   $$

2. **Calculate each part separately:**
   - $$4^{3} = 64$$
   - $$\left(x^{2}\right)^{3} = x^{2 \times 3} = x^{6}$$

3. **Combine the results:**
   $$
   64 \times x^{6} = 64x^{6}
   $$

**Answer:**  
**B $$ 64 x^{6} $$**
The simplified form is $$64x^{6}$$.

QUESTION 29 Simplify \[ \left(4 x^{2}\right)^{3} \] A \( 4 x^{6} \) B \( 64 x^{6} \) c \( 4 x^{5} \) D \( 12 x^{6} \)