Question 401530
Make use of the general formulas:
{{{a^(-b) = 1/(a^b)}}}
{{{(a^b)^c = a^(b*c)}}}
given:
{{{81^(-3/4) = 1/(81^(3/4))}}}
Now note that {{{81 = 3^4}}}
Replace {{{81}}} with this expression
{{{1/((3^4)^(3/4))}}}
This equals
{{{1/3^((4/4)*3)}}}
This equals
{{{1/(3^3)}}}
{{{1/27}}} answer