The solution to (-3 2/3)^2 is 13 4/9

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simplify (-3 2/3)^2

Solution

simplify

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

13 \frac{4}{9}

Decimal Notation

13.44444 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{2}{3} = \frac{11}{3}

= (- \frac{11}{3})^{2}

Apply exponent rule:

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

n

is even

(- \frac{11}{3})^{2} = (\frac{11}{3})^{2}

= (\frac{11}{3})^{2}

Apply exponent rule:

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

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

1 1^{2} = 121

= \frac{121}{3 ^{2}}

3^{2} = 9

= \frac{121}{9}

Convert improper fractions to mixed numbers:

\frac{121}{9} = 13 \frac{4}{9}

= 13 \frac{4}{9}

(2 a + 6 b)^{2} - 24 ab

x^{3} - 4 x^{2} - 7 x + 10

5 a^{2} - 180 = 0

x^{3} - x^{2} - 24 x - 36

7 x^{2} + 21 x - 28 = 0