What is (4x^3y^2)^{3/10} ?

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

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simplify (4x^3y^2)^{3/10}

simplify

(4 x^{3} y^{2})^{\frac{3}{10}}

2^{\frac{3}{5}} x^{\frac{9}{10}} y^{\frac{3}{5}}

Solution steps

(4 x^{3} y^{2})^{\frac{3}{10}}

Apply exponent rule:

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

(4 x^{3} y^{2})^{\frac{3}{10}} = 4^{\frac{3}{10}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

= 4^{\frac{3}{10}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

4^{\frac{3}{10}} = 2^{\frac{3}{5}}

= 2^{\frac{3}{5}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

Simplify

(x^{3})^{\frac{3}{10}} : x^{\frac{9}{10}}

= 2^{\frac{3}{5}} x^{\frac{9}{10}} (y^{2})^{\frac{3}{10}}

Simplify

(y^{2})^{\frac{3}{10}} : y^{\frac{3}{5}}

= 2^{\frac{3}{5}} x^{\frac{9}{10}} y^{\frac{3}{5}}

(- 1 - 2 i) (- 1 + 2 i)

\frac{16}{20}

2 x \times 3 x^{2}

y^{2} - 11 y + 24

\frac{7 x}{5} - \frac{9}{4}

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