Question

Which expression is equivalent to (5x^3)(4x)^3

Answer 1

Answer:B

Step-by-step explanation:

Just took the test

Answer 2

Answer:

320$x^{6}$

Step-by-step explanation:

Using the rules of exponents

• $(ab)^{n}$ ⇔ $a^{n}$ $b^{n}$

• $a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

simplifying $(4x)^{3}$ = 4³ × x³ = 64x³

(5x³) ×$(4x)^{3}$

= 5x³ × 64x³ = (5 × 64) × (x³ × x³) = 320$x^{(3+3)}$ = 320$x^{6}$