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Popular >

simplify (-(sqrt(2))/2)^2

Solution

simplify

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

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

= (\frac{2}{2})^{2}

Apply exponent rule:

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

= \frac{( 2 ) ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{( 2 ) ^{2}}{4}

(2)^{2} = 2

= \frac{2}{4}

Cancel the common factor:

2

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

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