Question

Which expression is equivalent to (5x^3)(2x)^3?

A. 10x^6
B. 30x^6
C. 40x^6
D. 1000x^12

Answer 1

$\bf (5x^3)(2x)^3\implies (5x^3)(2^3x^3)\implies (5x^3)(8x^3)\implies 5\cdot 8x^3x^3 \\\\\\ 40x^{3+3}\implies 40x^6$