Question

simplify
$(8x^{4})^{2}(2x^{3})$

Explanation:

Step1: Expand the squared term

Use exponent rule $(ab)^n=a^n b^n$ and $(x^m)^n=x^{m \cdot n}$:
$(8x^4)^2 = 8^2 \cdot (x^4)^2 = 64x^{8}$

Step2: Multiply by the remaining term

Multiply coefficients and add exponents of $x$ (rule $x^m \cdot x^n=x^{m+n}$):
$64x^{8} \cdot 2x^3 = (64 \cdot 2)x^{8+3}$

Step3: Compute final values

Calculate coefficient and exponent:
$128x^{11}$

Answer:

$128x^{11}$