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Popular >

simplify (1/3+(-1))^2

Solution

simplify

(\frac{1}{3} + (- 1))^{2}

Solution

\frac{4}{9}

+1

Solution steps

(\frac{1}{3} + (- 1))^{2}

Apply rule:

a + (- b) = a - b

\frac{1}{3} + (- 1) = \frac{1}{3} - 1

= (\frac{1}{3} - 1)^{2}

\frac{1}{3} - 1 = - \frac{2}{3}

= (- \frac{2}{3})^{2}

Apply exponent rule:

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

if

n

is even

(- \frac{2}{3})^{2} = (\frac{2}{3})^{2}

= (\frac{2}{3})^{2}

Apply exponent rule:

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

= \frac{2 ^{2}}{3 ^{2}}

2^{2} = 4

= \frac{4}{3 ^{2}}

3^{2} = 9

= \frac{4}{9}

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Frequently Asked Questions (FAQ)

What is (1/3+(-1))^2 ?
The solution to (1/3+(-1))^2 is 4/9