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Popular >

simplify (sqrt(2))^{1-n}

Solution

simplify

(2)^{1 - n}

Solution

2^{\frac{- n + 1}{2}}

Solution steps

(2)^{1 - n}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

Simplify

\frac{1}{2} (1 - n) : \frac{1 - n}{2}

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

= 2^{\frac{- n + 1}{2}}

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Frequently Asked Questions (FAQ)

What is (sqrt(2))^{1-n} ?
The solution to (sqrt(2))^{1-n} is 2^{(-n+1)/2}