The solution to (-3 1/3)^2 is 11 1/9

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simplify (-3 1/3)^2

Solution

simplify

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

11 \frac{1}{9}

Decimal Notation

11.11111 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{1}{3} = \frac{10}{3}

= (- \frac{10}{3})^{2}

Apply exponent rule:

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

n

is even

(- \frac{10}{3})^{2} = (\frac{10}{3})^{2}

= (\frac{10}{3})^{2}

Apply exponent rule:

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

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

1 0^{2} = 100

= \frac{100}{3 ^{2}}

3^{2} = 9

= \frac{100}{9}

Convert improper fractions to mixed numbers:

\frac{100}{9} = 11 \frac{1}{9}

= 11 \frac{1}{9}

(8 1^{\frac{1}{4}})^{- 2}

3 x + 2 \geq 2 x + 5

x^{3} + y^{3}

\frac{x + 4}{2} = 5