en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (27a^6)^{(-2)/3}

Solution

simplify

(27 a^{6})^{\frac{- 2}{3}}

Solution

\frac{1}{9 a ^{4}}

Solution steps

(27 a^{6})^{\frac{- 2}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(27 a^{6})^{\frac{- 2}{3}} = 2 7^{\frac{- 2}{3}} (a^{6})^{\frac{- 2}{3}}

= 2 7^{\frac{- 2}{3}} (a^{6})^{\frac{- 2}{3}}

2 7^{\frac{- 2}{3}} = \frac{1}{9}

= \frac{1}{9} (a^{6})^{\frac{- 2}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(a^{6})^{\frac{- 2}{3}} = a^{6 \cdot \frac{- 2}{3}}

= \frac{1}{9} a^{6 \cdot \frac{- 2}{3}}

6 \cdot \frac{- 2}{3} = - 4

= \frac{1}{9} a^{- 4}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

a^{- 4} = \frac{1}{a ^{4}}

= \frac{1}{9} \cdot \frac{1}{a ^{4}}

Simplify

\frac{1}{9} \cdot \frac{1}{a ^{4}} : \frac{1}{9 a ^{4}}

= \frac{1}{9 a ^{4}}

Popular Examples

factor x^2-16y^2 factor

x^{2} - 16 y^{2}

((4x+1)/3)2=(3x+15)/2-1

(\frac{4 x + 1}{3}) 2 = \frac{3 x + 15}{2} - 1

x^{2} - 5 x - 1 = 0

simplify 3/5 m^2-2mn+1/10 m^2-1/3 mn+2mn-2m^2 simplify

\frac{3}{5} m^{2} - 2 mn + \frac{1}{10} m^{2} - \frac{1}{3} mn + 2 mn - 2 m^{2}

simplify 3(11^{1/4})+9(11^{1/4})simplify

3 (1 1^{\frac{1}{4}}) + 9 (1 1^{\frac{1}{4}})

Frequently Asked Questions (FAQ)

What is (27a^6)^{(-2)/3} ?
The solution to (27a^6)^{(-2)/3} is 1/(9a^4)