What is \sqrt[7]{y^6}\sqrt[4]{y^3} ?

The solution to \sqrt[7]{y^6}\sqrt[4]{y^3} is y^{45/28}

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simplify \sqrt[7]{y^6}\sqrt[4]{y^3}

simplify

7 y^{6} 4 y^{3}

y^{\frac{45}{28}}

Solution steps

7 y^{6} 4 y^{3}

7 y^{6} : y^{\frac{6}{7}}

= y^{\frac{6}{7}} 4 y^{3}

4 y^{3} : y^{\frac{3}{4}}

= y^{\frac{6}{7}} y^{\frac{3}{4}}

Apply exponent rule:

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

y^{\frac{6}{7}} y^{\frac{3}{4}} = y^{\frac{6}{7} + \frac{3}{4}}

= y^{\frac{6}{7} + \frac{3}{4}}

Join

\frac{6}{7} + \frac{3}{4} : \frac{45}{28}

= y^{\frac{45}{28}}

13 3 x^{5} y

4 5 x^{4}

(e^{- x y})^{2}

(g^{\circ} g) (x)

(5 - x)^{2} (- 5 - x)^{2}

What is \sqrt[7]{y^6}\sqrt[4]{y^3} ?
The solution to \sqrt[7]{y^6}\sqrt[4]{y^3} is y^{45/28}