What is \sqrt[5]{2pq^6}*2sqrt(2p^3q) ?

The solution to \sqrt[5]{2pq^6}*2sqrt(2p^3q) is 2\sqrt[10]{2^7}\sqrt[10]{p^{17}}\sqrt[10]{q^{17}}

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simplify \sqrt[5]{2pq^6}*2sqrt(2p^3q)

simplify

Solution steps

Simplify

2 p^{3} q : 2 p p q

Simplify

p^{\frac{7}{10}} p : p^{\frac{17}{10}}

Simplify

q q^{\frac{7}{10}} : q^{\frac{17}{10}}

Apply radical rule:

= 2 \cdot 2^{\frac{1}{5}} 2 p^{\frac{17}{10}} q^{\frac{17}{10}}

Apply radical rule:

a = a^{\frac{1}{2}}

2 = 2^{\frac{1}{2}}

= 2 \cdot 2^{\frac{1}{5}} \cdot 2^{\frac{1}{2}} p^{\frac{17}{10}} q^{\frac{17}{10}}

2^{\frac{1}{5}} \cdot 2^{\frac{1}{2}} = 2^{\frac{7}{10}}

= 2 \cdot 2^{\frac{7}{10}} p^{\frac{17}{10}} q^{\frac{17}{10}}

(- \frac{5}{2})^{3}

\frac{21}{- 3}

- 6 x > - 24

3 x - 3 y

\frac{6 a ^{3} b ^{3} - 9 a ^{2} b ^{2} + 3 a b ^{4}}{3 a b ^{2}}

What is \sqrt[5]{2pq^6}*2sqrt(2p^3q) ?
The solution to \sqrt[5]{2pq^6}*2sqrt(2p^3q) is 2\sqrt[10]{2^7}\sqrt[10]{p^{17}}\sqrt[10]{q^{17}}