Question 551784
Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents (32x^-5y/128x^-5y^4)^3
:
{{{((32x^-5y)/(128x^-5y^4))^3}}}
x^-5, cancel
{{{((32y)/(128y^4))^3}}}
reduce the numeric fraction
{{{((1y)/(4y^4))^3}}}
combine the y
{{{(1/(4y^(4-1)))^3}}} = {{{(1/(4y^3))^3}}} = {{{1/(4^3y^(3*3))}}} = {{{1/(64y^9)}}}