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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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:

(\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}

6 p q^{2} + 5 q r + 7 pq r

- 2 (x - 2) - 4 x - 5 = 29

\frac{- 10}{- 2}

3 x - 10 (x + 2) = 13 - 7 x

x^{2} - \frac{93}{216} x + \frac{53}{1728} = 0