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Popular >

simplify (y*y^{1/3})^{3/2}

Solution

simplify

(y \cdot y^{\frac{1}{3}})^{\frac{3}{2}}

Solution

y^{2}

Solution steps

(y y^{\frac{1}{3}})^{\frac{3}{2}}

Apply exponent rule:

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

(y y^{\frac{1}{3}})^{\frac{3}{2}} = y^{\frac{3}{2}} (y^{\frac{1}{3}})^{\frac{3}{2}}

= y^{\frac{3}{2}} (y^{\frac{1}{3}})^{\frac{3}{2}}

Simplify

(y^{\frac{1}{3}})^{\frac{3}{2}} : y^{\frac{1}{2}}

= y^{\frac{3}{2}} y^{\frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{\frac{3}{2}} y^{\frac{1}{2}} = y^{\frac{3}{2} + \frac{1}{2}}

= y^{\frac{3}{2} + \frac{1}{2}}

Join

\frac{3}{2} + \frac{1}{2} : 2

= y^{2}

Popular Examples

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-7(8x-13)-34=15x+57

- 7 (8 x - 13) - 34 = 15 x + 57

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Frequently Asked Questions (FAQ)

What is (y*y^{1/3})^{3/2} ?
The solution to (y*y^{1/3})^{3/2} is y^2