What is (-1/3)^{4/5}*(1/3)^{3/5} ?

The solution to (-1/3)^{4/5}*(1/3)^{3/5} is (-1/3)^{4/5} 1/(3^{3/5)}

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simplify (-1/3)^{4/5}*(1/3)^{3/5}

simplify

(- \frac{1}{3})^{\frac{4}{5}} \cdot (\frac{1}{3})^{\frac{3}{5}}

(- \frac{1}{3})^{\frac{4}{5}} \frac{1}{3 ^{\frac{3}{5}}}

Solution steps

(- \frac{1}{3})^{\frac{4}{5}} (\frac{1}{3})^{\frac{3}{5}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{3})^{\frac{3}{5}} = \frac{1 ^{\frac{3}{5}}}{3 ^{\frac{3}{5}}}

= (- \frac{1}{3})^{\frac{4}{5}} \frac{1 ^{\frac{3}{5}}}{3 ^{\frac{3}{5}}}

Apply rule

1^{a} = 1

1^{\frac{3}{5}} = 1

= (- \frac{1}{3})^{\frac{4}{5}} \frac{1}{3 ^{\frac{3}{5}}}

(x^{5})^{\frac{1}{9}}

2^{- 6} = \frac{1}{64}

m^{2} - 6 m - 27

y^{4} - y^{3} - y + 1

18.02 \geq 5 - s

What is (-1/3)^{4/5}*(1/3)^{3/5} ?
The solution to (-1/3)^{4/5}*(1/3)^{3/5} is (-1/3)^{4/5} 1/(3^{3/5)}