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

we know that

A perfect cube is a whole number which is the cube of another whole number or a number is a perfect cube if the cube root of that number is a whole number.

so

case a)

the cube root of is not a whole number

therefore

The expression is not a perfect cube

case b)

the cube root of is not a whole number

the cube root of is not a whole number

therefore

The expression is not a perfect cube

case c)

therefore

The expression is a perfect cube

case d)

the cube root of is not a whole number

therefore

The expression is not a perfect cube

the answer is

i believe the answer is letter c) 8

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!