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Popular >

simplify 2x^{1/6}*2x^{(-7)/6}

Solution

simplify

2 x^{\frac{1}{6}} \cdot 2 x^{\frac{- 7}{6}}

Solution

\frac{4}{x}

Solution steps

2 x^{\frac{1}{6}} \cdot 2 x^{\frac{- 7}{6}}

Multiply the numbers:

2 \cdot 2 = 4

= 4 x^{\frac{1}{6}} x^{\frac{- 7}{6}}

Apply exponent rule:

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

x^{\frac{1}{6}} x^{\frac{- 7}{6}} = x^{\frac{1}{6} + \frac{- 7}{6}}

= 4 x^{\frac{1}{6} + \frac{- 7}{6}}

\frac{1}{6} + \frac{- 7}{6} = - 1

= 4 x^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

x^{- 1} = \frac{1}{x}

= 4 \cdot \frac{1}{x}

Simplify

4 \cdot \frac{1}{x} : \frac{4}{x}

= \frac{4}{x}

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Frequently Asked Questions (FAQ)

What is 2x^{1/6}*2x^{(-7)/6} ?
The solution to 2x^{1/6}*2x^{(-7)/6} is 4/x