What is (x^{3/2}y)^{1/3}+x^{1/2} ?

The solution to (x^{3/2}y)^{1/3}+x^{1/2} is x^{1/2}y^{1/3}+x^{1/2}

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simplify (x^{3/2}y)^{1/3}+x^{1/2}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

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

(\frac{a ^{7}}{2 b})^{5}

c^{2} + c - 20

3 w + 5 - 7 w + 9 w - 11 w + 13 = 16 - 8 w

3 (\frac{1}{2} - \frac{1}{4}) \div 5 (\frac{1}{8} - \frac{7}{3})

- 5^{2} + 6 x + 0

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