Question

(x^3*y^1/3)^(-4/5)

Answer 1

\[\large (x^3y^\frac{ 1}{ 3 })^{-4/5}\]
When you multiply exponents like this
\[\large a^m * a^n = a^{m+n}\]
For this
\[\huge (a^n)^m = a^{n*m}\]

Answer 2

ok

Answer 3

Also,
\[\huge x^{-n} = \frac{ 1 }{ x^n } \]
and for the fraction powers..
\[\huge \sqrt[n]{x^m} = x^{m/n}\]

Answer 4

Can you simplify given these formulas/rules?

Answer 5

can you show me how to do it

Answer 6

\[\huge (x^3y^{1/3})^{-4/5}\]
You get :
\[\huge x^{-12/5}y^{-4/15}\]
\[\huge \sqrt[5]{x^{-12}} * \sqrt[15]{y^{-4}}\]
\[\huge \frac{ 1 }{ \sqrt[5]{x^{12}} } * \frac{ 1 }{ \sqrt[15]{y^{4}} }\]