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Popular >

simplify sqrt(2^{6-2x)}

Solution

simplify

2^{6 - 2 x}

Solution

2^{- x + 3}

Solution steps

2^{6 - 2 x}

Apply radical rule:

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

= (2^{6 - 2 x})^{\frac{1}{2}}

Apply exponent rule:

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

= 2^{(6 - 2 x) \frac{1}{2}}

Simplify

(6 - 2 x) \frac{1}{2} : 3 - x

= 2^{3 - x}

= 2^{- x + 3}

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Frequently Asked Questions (FAQ)

What is sqrt(2^{6-2x)} ?
The solution to sqrt(2^{6-2x)} is 2^{-x+3}