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Popular >

simplify (x^{1/4}y^{16})^{1/2}

Solution

simplify

(x^{\frac{1}{4}} y^{16})^{\frac{1}{2}}

Solution

x^{\frac{1}{8}} y^{8}

Solution steps

(x^{\frac{1}{4}} y^{16})^{\frac{1}{2}}

Apply exponent rule:

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

(x^{\frac{1}{4}} y^{16})^{\frac{1}{2}} = (x^{\frac{1}{4}})^{\frac{1}{2}} (y^{16})^{\frac{1}{2}}

= (x^{\frac{1}{4}})^{\frac{1}{2}} (y^{16})^{\frac{1}{2}}

Simplify

(x^{\frac{1}{4}})^{\frac{1}{2}} : x^{\frac{1}{8}}

= x^{\frac{1}{8}} (y^{16})^{\frac{1}{2}}

Simplify

(y^{16})^{\frac{1}{2}} : y^{8}

= x^{\frac{1}{8}} y^{8}

Popular Examples

k^{2} - 8 k + 13 = - 2

simplify (256/625)^{1/4}simplify

(\frac{256}{625})^{\frac{1}{4}}

(x - 1) (x + 3) < 0

9 a + 7 = 8 a - 6

simplify (12x^2y^3z)/(6x^3y^2z^2)simplify

\frac{12 x ^{2} y ^{3} z}{6 x ^{3} y ^{2} z ^{2}}

Frequently Asked Questions (FAQ)

What is (x^{1/4}y^{16})^{1/2} ?
The solution to (x^{1/4}y^{16})^{1/2} is x^{1/8}y^8