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Popular >

simplify (-1/6+0.6(-1/3)+1)^2

Solution

simplify

(- \frac{1}{6} + 0.6 (- \frac{1}{3}) + 1)^{2}

Solution

\frac{361}{900}

+1

Decimal Notation

0.40111 \dots

Solution steps

(- \frac{1}{6} + 0.6 (- \frac{1}{3}) + 1)^{2}

Apply rule:

a (- b) = - ab

0.6 (- \frac{1}{3}) = - 0.6 \cdot \frac{1}{3}

= (- \frac{1}{6} - 0.6 \cdot \frac{1}{3} + 1)^{2}

Simplify

- \frac{1}{6} - 0.6 \cdot \frac{1}{3} + 1 : \frac{19}{30}

= (\frac{19}{30})^{2}

Apply exponent rule:

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

= \frac{1 9 ^{2}}{3 0 ^{2}}

1 9^{2} = 361

= \frac{361}{3 0 ^{2}}

3 0^{2} = 900

= \frac{361}{900}

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Frequently Asked Questions (FAQ)

What is (-1/6+0.6(-1/3)+1)^2 ?
The solution to (-1/6+0.6(-1/3)+1)^2 is 361/900