The solution to (8 2/3)^4 is 5641 55/81

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8 2/3)^4

Solution

simplify

(8 \frac{2}{3})^{4}

5641 \frac{55}{81}

Decimal Notation

5641.67901 \dots

Solution steps

(8 \frac{2}{3})^{4}

Convert mixed numbers to improper fractions:

8 \frac{2}{3} = \frac{26}{3}

= (\frac{26}{3})^{4}

Apply exponent rule:

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

= \frac{2 6 ^{4}}{3 ^{4}}

3^{4} = 81

= \frac{2 6 ^{4}}{81}

2 6^{4} = 456976

= \frac{456976}{81}

Convert improper fractions to mixed numbers:

\frac{456976}{81} = 5641 \frac{55}{81}

= 5641 \frac{55}{81}

- 12 \leq 2 x

- 6 y^{3} + 18 y^{4}

\frac{1}{10} \times \frac{9}{9} + \frac{9}{10} \times \frac{1}{9}

0 = - 5 t^{2} + 15 t

t^{2} + \frac{3}{2} t - \frac{2}{3} = 0