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Popular >

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

Solution

simplify

(2)^{2 x - 1}

Solution

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

Solution steps

(2)^{2 x - 1}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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