The solution to (1 1/2)^3 is 3 3/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1 1/2)^3

Solution

simplify

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

3 \frac{3}{8}

Decimal Notation

3.375

Solution steps

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

Convert mixed numbers to improper fractions:

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

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

Apply exponent rule:

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

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

3^{3} = 27

= \frac{27}{2 ^{3}}

2^{3} = 8

= \frac{27}{8}

Convert improper fractions to mixed numbers:

\frac{27}{8} = 3 \frac{3}{8}

= 3 \frac{3}{8}

\frac{1}{4} \div \frac{5}{6}

\frac{x ^{2} + x - 6}{x ^{2} - 5 x + 6}

sin^{2} (x) csc^{2} (x)

(3 m^{4} - m^{2} + 1) (m^{2} - 3 m + 4)

\frac{9 ( x ^{2} ) ^{3}}{3 x y ^{2}}