Question

Can you show me how to calculate:
(16y^4)^3/4

Answer 1

start with
\[16=2^4\] so you have
\[(2^4y^4)^{\frac{3}{4}}\]

Answer 2

I assume you mean (16y^4)^(3/4)
remember
(ax^n)^m=a^m(x^nm)
so in this case
(16y^4)^(3/4)=16^(3/4)(y^3)=2^3(y^3)=8y^3

Answer 3

then multiply the exponents, which really means cancel the 4s and you get
\[2^3y^3=8y^3\]