The solution to (-2 2/3)^2 is 7 1/9

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simplify (-2 2/3)^2

Solution

simplify

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

7 \frac{1}{9}

Decimal Notation

7.11111 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{2}{3} = \frac{8}{3}

= (- \frac{8}{3})^{2}

Apply exponent rule:

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

n

is even

(- \frac{8}{3})^{2} = (\frac{8}{3})^{2}

= (\frac{8}{3})^{2}

Apply exponent rule:

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

= \frac{8 ^{2}}{3 ^{2}}

8^{2} = 64

= \frac{64}{3 ^{2}}

3^{2} = 9

= \frac{64}{9}

Convert improper fractions to mixed numbers:

\frac{64}{9} = 7 \frac{1}{9}

= 7 \frac{1}{9}

6 \cdot \frac{1}{5}

81 - 24 x^{3}

0 = - 5 t^{2}

4 - 2 (x - 3) = 24

6.7 y - 1 = - 7.7