Question

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

Answer 1

Answer:B

Explanation:

Just took the test

Answer 2

320
`x^(6)`

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)`