What is (9x^{2/5}y^{3/5})^{5/2} ?

The solution to (9x^{2/5}y^{3/5})^{5/2} is 243xy^{3/2}

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simplify (9x^{2/5}y^{3/5})^{5/2}

simplify

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

243 x y^{\frac{3}{2}}

Solution steps

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

Apply exponent rule:

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

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

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

9^{\frac{5}{2}} = 243

= 243 (x^{\frac{2}{5}})^{\frac{5}{2}} (y^{\frac{3}{5}})^{\frac{5}{2}}

Simplify

(x^{\frac{2}{5}})^{\frac{5}{2}} : x

= 243 x (y^{\frac{3}{5}})^{\frac{5}{2}}

Simplify

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

= 243 x y^{\frac{3}{2}}

- \frac{1}{2} (2)

- 2.4 (1) + 9.6

\frac{10}{- i}

5 x^{2} = 45

3 x^{2} - 28 x + 9

What is (9x^{2/5}y^{3/5})^{5/2} ?
The solution to (9x^{2/5}y^{3/5})^{5/2} is 243xy^{3/2}