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Popular >

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

Solution

simplify

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

Solution

2 - x

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{2} \cdot 2 = 1

= (2 - x)^{1}

Apply exponent rule:

a^{1} = a

= 2 - x

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Frequently Asked Questions (FAQ)

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