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Popular >

simplify 1/2 ((2-1)/2)^2

Solution

simplify

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

Solution

\frac{1}{8}

+1

Solution steps

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

Apply exponent rule:

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

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

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

(2 - 1)^{2} = 1

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

2^{2} = 4

= \frac{1}{2} \cdot \frac{1}{4}

\frac{1}{2} \cdot \frac{1}{4} = \frac{1}{8}

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is 1/2 ((2-1)/2)^2 ?
The solution to 1/2 ((2-1)/2)^2 is 1/8