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Popular >

simplify x^{-1/2}*x^{-1/2}

Solution

simplify

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

Solution

\frac{1}{x}

Solution steps

x^{- \frac{1}{2}} x^{- \frac{1}{2}}

Apply exponent rule:

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

x^{- \frac{1}{2}} x^{- \frac{1}{2}} = x^{- \frac{1}{2} - \frac{1}{2}}

= x^{- \frac{1}{2} - \frac{1}{2}}

- \frac{1}{2} - \frac{1}{2} = - 1

= x^{- 1}

Apply exponent rule:

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

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

= \frac{1}{x}

Popular Examples

(z + 3)^{2} = 5

simplify 1/2 (2)^{-1}simplify

\frac{1}{2} (2)^{- 1}

∣ 8 x - 5 ∣ \leq 11

simplify i*1/i simplify

i \cdot \frac{1}{i}

simplify (3^2)^{-2}simplify

(3^{2})^{- 2}

Frequently Asked Questions (FAQ)

What is x^{-1/2}*x^{-1/2} ?
The solution to x^{-1/2}*x^{-1/2} is 1/x