What is (6x^{4/5}y^{3/5})(5xy^{3/4}) ?

The solution to (6x^{4/5}y^{3/5})(5xy^{3/4}) is 30x^{9/5}y^{27/20}

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simplify (6x^{4/5}y^{3/5})(5xy^{3/4})

simplify

(6 x^{\frac{4}{5}} y^{\frac{3}{5}}) (5 x y^{\frac{3}{4}})

30 x^{\frac{9}{5}} y^{\frac{27}{20}}

Solution steps

(6 x^{\frac{4}{5}} y^{\frac{3}{5}}) (5 x y^{\frac{3}{4}})

Apply exponent rule:

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

y^{\frac{3}{5}} y^{\frac{3}{4}} = y^{\frac{3}{5} + \frac{3}{4}}

= 6 x^{\frac{4}{5}} \cdot 5 x y^{\frac{3}{5} + \frac{3}{4}}

y^{\frac{3}{5} + \frac{3}{4}} = y^{\frac{27}{20}}

= 6 \cdot 5 x x^{\frac{4}{5}} y^{\frac{27}{20}}

Multiply the numbers:

6 \cdot 5 = 30

= 30 x x^{\frac{4}{5}} y^{\frac{27}{20}}

Apply exponent rule:

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

x^{\frac{4}{5}} x = x^{\frac{4}{5} + 1}

= 30 x^{\frac{4}{5} + 1} y^{\frac{27}{20}}

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

= 30 x^{\frac{9}{5}} y^{\frac{27}{20}}

e^{- 5.8}

(16 - x^{2})^{3}

e^{(- 1)} (6 (- 1) + 6 (- 1)^{2} + (- 1)^{3})

What is (6x^{4/5}y^{3/5})(5xy^{3/4}) ?
The solution to (6x^{4/5}y^{3/5})(5xy^{3/4}) is 30x^{9/5}y^{27/20}