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Popular >

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

Solution

simplify

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

Solution

\frac{1 - 2 x}{2}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply exponent rule:

a^{1} = a

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

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Frequently Asked Questions (FAQ)

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