en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2/3)^2left(2/3)^3

Solution

simplify

(\frac{2}{3})^{2} l e f t (\frac{2}{3})^{3}

Solution

\frac{32 e l f t}{243}

Solution steps

(\frac{2}{3})^{2} l e f t (\frac{2}{3})^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= l e f t (\frac{2}{3})^{2 + 3}

Add the numbers:

2 + 3 = 5

= l e f t (\frac{2}{3})^{5}

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

= e \frac{2 ^{5}}{3 ^{5}} l f t

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ^{5} l e f t}{3 ^{5}}

Refine

= \frac{32 e l f t}{243}

Popular Examples

simplify e^{-2x}*(-e^x)simplify

e^{- 2 x} \cdot (- e^{x})

simplify-2sqrt(5)^2 simplify

- 2 5^{2}

simplify \sqrt[3]{x^{3/4}}simplify

simplify (ab^2)(a^2b)simplify

(a b^{2}) (a^{2} b)

simplify (6*10^{23})(79)(1.6*10^{-19})simplify

(6 \cdot 1 0^{23}) (79) (1.6 \cdot 1 0^{- 19})

Frequently Asked Questions (FAQ)

What is (2/3)^2left(2/3)^3 ?
The solution to (2/3)^2left(2/3)^3 is (32elft)/(243)