en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5/b)^{-3}

Solution

simplify

(\frac{5}{b})^{- 3}

Solution

\frac{b ^{3}}{125}

Solution steps

(\frac{5}{b})^{- 3}

Apply exponent rule:

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

(\frac{5}{b})^{- 3} = \frac{1}{( \frac{5}{b} ) ^{3}}

= \frac{1}{( \frac{5}{b} ) ^{3}}

Simplify

(\frac{5}{b})^{3} : \frac{125}{b ^{3}}

= \frac{1}{\frac{125}{b ^{3}}}

Apply the fraction rule:

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

= \frac{b ^{3}}{125}

Popular Examples

factor 3a-6 factor

3 a - 6

y^2+y(3(y+300))=(600^2)/4

y^{2} + y (3 (y + 300)) = \frac{60 0 ^{2}}{4}

factor x^2-38x+361 factor

x^{2} - 38 x + 361

x^{2} - 11 x \geq - 28

factor 9x^4-12x^2+4 factor

9 x^{4} - 12 x^{2} + 4

Frequently Asked Questions (FAQ)

What is (5/b)^{-3} ?
The solution to (5/b)^{-3} is (b^3)/(125)