Which expression is a perfect cube?

a.) 12x^12 y^18

b.) 12x^27 y^125

c.) 64x^15 y^18

d.) 64x^27 y^125

I do believe the answer is C.

Perfect cube

rembmber (x^m) ^n=x^ (mn)

so cued would be (x^m) ^3=x^ (3m)

the exponents must be divisble by 3

well, all the exponents are divisble by 3 except the ones that are 125

check A and C now

see the coefients

12 is not a perfecte cube, A is wrong

answer is C

it can be written in form

(4x⁵) ³ + (y⁶) ³