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Popular >

simplify (a^6b^{24})^{1/6}

Solution

simplify

(a^{6} b^{24})^{\frac{1}{6}}

Solution

a b^{4}

Solution steps

(a^{6} b^{24})^{\frac{1}{6}}

Apply exponent rule:

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

(a^{6} b^{24})^{\frac{1}{6}} = (a^{6})^{\frac{1}{6}} (b^{24})^{\frac{1}{6}}

= (a^{6})^{\frac{1}{6}} (b^{24})^{\frac{1}{6}}

Simplify

(a^{6})^{\frac{1}{6}} : a

= a (b^{24})^{\frac{1}{6}}

Simplify

(b^{24})^{\frac{1}{6}} : b^{4}

= a b^{4}

Popular Examples

- 12 = - 32 + 4 x

simplify (1.0101^{(365)/(40.415)}-1)*100 simplify

(1.010 1^{\frac{365}{40.415}} - 1) \cdot 100

t^{2} - 6 t = - 5

simplify (1/25)^{3/2}simplify

(\frac{1}{25})^{\frac{3}{2}}

- x^{2} - 2 x + 3 \geq 0

Frequently Asked Questions (FAQ)

What is (a^6b^{24})^{1/6} ?
The solution to (a^6b^{24})^{1/6} is ab^4