en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a/b)^{-10}

Solution

simplify

(\frac{a}{b})^{- 10}

Solution

\frac{b ^{10}}{a ^{10}}

Solution steps

(\frac{a}{b})^{- 10}

Apply exponent rule:

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

(\frac{a}{b})^{- 10} = \frac{1}{( \frac{a}{b} ) ^{10}}

= \frac{1}{( \frac{a}{b} ) ^{10}}

Apply exponent rule:

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

(\frac{a}{b})^{10} = \frac{a ^{10}}{b ^{10}}

= \frac{1}{\frac{a ^{10}}{b ^{10}}}

Apply the fraction rule:

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

= \frac{b ^{10}}{a ^{10}}

Popular Examples

domain of f(x)=x^2-3x^2 domain

f (x) = x^{2} - 3 x^{2}

factor 27m^{12}-64n^9 factor

27 m^{12} - 64 n^{9}

\frac{1}{2} x + 3 = 2

710*(0.6-x)(0.06-x)-x=0

710 \cdot (0.6 - x) (0.06 - x) - x = 0

factor x^2+10x+100 factor

x^{2} + 10 x + 100

Frequently Asked Questions (FAQ)

What is (a/b)^{-10} ?
The solution to (a/b)^{-10} is (b^{10})/(a^{10)}