Question

PLS HELP SUPER URGENT!

p and q are both prime numbers. Find the р values of p and q so that 6x54x p/q is a perfect cube.​

Answer 1

p = 2, q = 3.

Explanation:

A perfect cube is in the form
`a^(3)`.

`(6.54.p)/(q) = (324.p)/(q) = (2^(2).3^(4).p )/(q)`

To make this fraction a perfect cube, we need to increase the exponent of 2 to 3 and decrease the exponent of 3 to 3.

Conclusion:
`p = 2, q = 3`.