en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1/3-x)^{-2}

Solution

expand

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

Solution

\frac{9}{( - 3 x + 1 ) ^{2}}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{( \frac{1}{3} - x ) ^{2}}

(\frac{1}{3} - x)^{2} = \frac{( 1 - 3 x ) ^{2}}{3 ^{2}}

= \frac{1}{\frac{( 1 - 3 x ) ^{2}}{3 ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{3 ^{2}}{( 1 - x \cdot 3 ) ^{2}}

3^{2} = 9

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

Popular Examples

simplify 3*pi*3^2 simplify

3 \cdot π \cdot 3^{2}

simplify e^X*e^X simplify

e^{X} \cdot e^{X}

simplify 1.78*10^{-5}simplify

1.78 \cdot 1 0^{- 5}

simplify 5/100*e^{-1/100}simplify

\frac{5}{100} \cdot e^{- \frac{1}{100}}

simplify (2n+3)^2(2n+4)^2 simplify

(2 n + 3)^{2} (2 n + 4)^{2}

Frequently Asked Questions (FAQ)

What is expand (1/3-x)^{-2} ?
The solution to expand (1/3-x)^{-2} is 9/((-3x+1)^2)