en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((2/3)^3)/((2/3)^{-2)}

Solution

simplify

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

Solution

\frac{32}{243}

+1

Decimal Notation

0.13168 \dots

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

Apply rule

- (- a) = a

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

Add the numbers:

3 + 2 = 5

= (\frac{2}{3})^{5}

Apply exponent rule:

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

= \frac{2 ^{5}}{3 ^{5}}

2^{5} = 32

= \frac{32}{3 ^{5}}

3^{5} = 243

= \frac{32}{243}

Popular Examples

simplify (6x+48)/(x^2-9x)*(x^2-81)/(x^2+17x+72)simplify

\frac{6 x + 48}{x ^{2} - 9 x} \cdot \frac{x ^{2} - 81}{x ^{2} + 17 x + 72}

simplify (-sqrt(6))(-2sqrt(-42))simplify

(- 6) (- 2 - 42)

simplify (3x+1)/(4x+3)+(9x^2)/(x-5)simplify

\frac{3 x + 1}{4 x + 3} + \frac{9 x ^{2}}{x - 5}

simplify sqrt(5)sqrt(30)simplify

530

simplify sqrt(-3^2)simplify

- 3^{2}

Frequently Asked Questions (FAQ)

What is ((2/3)^3)/((2/3)^{-2)} ?
The solution to ((2/3)^3)/((2/3)^{-2)} is 32/243