Question 161663
{{{((8x^(3/2))/(y^3))^(4/3)}}} Start with the given expression



{{{((2^3x^(3/2))/(y^3))^(4/3)}}} Rewrite {{{8}}} as {{{2^3}}}



{{{(2^3x^(3/2))^(4/3)/(y^3)^(4/3)}}} Rewrite the fraction




{{{(2^(3(4/3))x^((3/2)(4/3)))/(y^((3)(4/3)))}}} Distribute the outer exponent to each of the inner exponents.



{{{(2^4x^(12/6))/(y^(12/3))}}} Multiply



{{{(16x^2)/(y^4)}}} Reduce




So {{{((8x^(3/2))/(y^3))^(4/3)}}} simplifies to {{{(16x^2)/(y^4)}}}