Answer:
p = 2, q = 3.
Step-by-step explanation:
A perfect cube is in the form [tex]a^{3} [/tex].
[tex]\frac{6.54.p}{q} = \frac{324.p}{q} = \frac{2^{2}.3^{4}.p }{q} [/tex]
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: [tex]p = 2, q = 3[/tex].
