What is (\sqrt[6]{x^5y^7})^{18} ?

The solution to (\sqrt[6]{x^5y^7})^{18} is x^{15}y^{21}

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simplify (\sqrt[6]{x^5y^7})^{18}

simplify

x^{15} y^{21}

Solution steps

Rewrite

18

6 \cdot 3

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

Apply exponent rule:

assuming

n i s o dd or a \geq 0

= (x^{5} y^{7})^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x^{5} y^{7})^{3} = (x^{5})^{3} (y^{7})^{3}

= (x^{5})^{3} (y^{7})^{3}

Simplify

(x^{5})^{3} : x^{15}

= x^{15} (y^{7})^{3}

Simplify

(y^{7})^{3} : y^{21}

= x^{15} y^{21}

k e^{- 3 k}

u^{4} e^{- u}

(p - q)^{3} (p + q)^{3}

1.6 e^{- 0.5}

What is (\sqrt[6]{x^5y^7})^{18} ?
The solution to (\sqrt[6]{x^5y^7})^{18} is x^{15}y^{21}