simplify 2(3/2)^3

Solution

simplify

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

\frac{27}{4}

Decimal Notation

6.75

Solution steps

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

Apply exponent rule:

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

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

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

3^{3} = 27

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

2^{3} = 8

= 2 \cdot \frac{27}{8}

2 \cdot \frac{27}{8} = \frac{27}{4}

= \frac{27}{4}

\frac{13000000}{470000}

(x - 2 y + \frac{1}{3} z)^{2}

(\frac{4}{5} x^{2} - \frac{1}{3} y^{3})^{2}

3 \cdot 1