What is (32x^{25}y^{-10})^{2/5} ?

The solution to (32x^{25}y^{-10})^{2/5} is (4x^{10})/(y^4)

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simplify (32x^{25}y^{-10})^{2/5}

simplify

(32 x^{25} y^{- 10})^{\frac{2}{5}}

\frac{4 x ^{10}}{y ^{4}}

Solution steps

(32 x^{25} y^{- 10})^{\frac{2}{5}}

Apply exponent rule:

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

(32 x^{25} y^{- 10})^{\frac{2}{5}} = 3 2^{\frac{2}{5}} (x^{25})^{\frac{2}{5}} (y^{- 10})^{\frac{2}{5}}

= 3 2^{\frac{2}{5}} (x^{25})^{\frac{2}{5}} (y^{- 10})^{\frac{2}{5}}

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

= 4 (x^{25})^{\frac{2}{5}} (y^{- 10})^{\frac{2}{5}}

Simplify

(x^{25})^{\frac{2}{5}} : x^{10}

= 4 x^{10} (y^{- 10})^{\frac{2}{5}}

Simplify

(y^{- 10})^{\frac{2}{5}} : \frac{1}{y ^{4}}

= 4 x^{10} \frac{1}{y ^{4}}

Simplify

4 x^{10} \frac{1}{y ^{4}} : \frac{4 x ^{10}}{y ^{4}}

= \frac{4 x ^{10}}{y ^{4}}

0.06 x + 0.07 (38000 - x) = 2440

14 x^{2} - 6 x

\frac{a ^{3} - b ^{3}}{a ^{2} - b ^{2}}

8 x < 48

2 8^{2}

What is (32x^{25}y^{-10})^{2/5} ?
The solution to (32x^{25}y^{-10})^{2/5} is (4x^{10})/(y^4)