What is (x^{1/5}*y^{2/9})(x^{1/2}*y^{4/9}) ?

The solution to (x^{1/5}*y^{2/9})(x^{1/2}*y^{4/9}) is x^{7/10}y^{2/3}

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simplify (x^{1/5}y^{2/9})(x^{1/2}y^{4/9})

simplify

(x^{\frac{1}{5}} \cdot y^{\frac{2}{9}}) (x^{\frac{1}{2}} \cdot y^{\frac{4}{9}})

x^{\frac{7}{10}} y^{\frac{2}{3}}

Solution steps

(x^{\frac{1}{5}} y^{\frac{2}{9}}) (x^{\frac{1}{2}} y^{\frac{4}{9}})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{1}{5}} x^{\frac{1}{2}} = x^{\frac{1}{5} + \frac{1}{2}}

= y^{\frac{2}{9}} x^{\frac{1}{5} + \frac{1}{2}} y^{\frac{4}{9}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{\frac{2}{9}} y^{\frac{4}{9}} = y^{\frac{2}{9} + \frac{4}{9}}

= x^{\frac{1}{5} + \frac{1}{2}} y^{\frac{2}{9} + \frac{4}{9}}

Combine the fractions

\frac{2}{9} + \frac{4}{9} : \frac{2}{3}

= y^{\frac{2}{3}} x^{\frac{1}{5} + \frac{1}{2}}

x^{\frac{1}{5} + \frac{1}{2}} = x^{\frac{7}{10}}

= x^{\frac{7}{10}} y^{\frac{2}{3}}

\frac{1}{3} \cdot 3.14 \cdot 5^{2} \cdot 5

e^{- 6 l n ∣ x ∣}

(2 x^{5} y^{2}) (3 y^{3})

What is (x^{1/5}*y^{2/9})(x^{1/2}*y^{4/9}) ?
The solution to (x^{1/5}*y^{2/9})(x^{1/2}*y^{4/9}) is x^{7/10}y^{2/3}