Question

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

A. 10x^6
B. 30x^6
C. 40x^6
D. 1,000x^12

Answer 1

Remember

(ab)(cd)=abcd

so


C is answe

Answer 2

remember

`(a^b)^c=a^(bc)`
(ab)(cd)=abcd

`(x^m)(x^n)=x^(m+n)`
so


`(5x^3)(2x)^3=(5)(x^3)(2^3)(x^3)=(5)(8)(x^3)(x^3)=40x^6`
C is answer