en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x^3*x^{-5}

Solution

simplify

x^{3} \cdot x^{- 5}

Solution

\frac{1}{x ^{2}}

Solution steps

x^{3} x^{- 5}

Apply exponent rule:

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

x^{3} x^{- 5} = x^{3 - 5}

= x^{3 - 5}

Subtract the numbers:

3 - 5 = - 2

= x^{- 2}

Apply exponent rule:

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

x^{- 2} = \frac{1}{x ^{2}}

= \frac{1}{x ^{2}}

Popular Examples

simplify sqrt((-1)^2+(-\sqrt{3))^2}simplify

(- 1)^{2} + (- 3)^{2}

simplify 5/6 m-7/8 m simplify

\frac{5}{6} m - \frac{7}{8} m

simplify 4x+[x-(2x-3)]-[5-2(1-x)]simplify

4 x + [x - (2 x - 3)] - [5 - 2 (1 - x)]

simplify 1/(sqrt(a))simplify

\frac{1}{a}

simplify 1/(1+e^{-4)}simplify

\frac{1}{1 + e ^{- 4}}

Frequently Asked Questions (FAQ)

What is x^3*x^{-5} ?
The solution to x^3*x^{-5} is 1/(x^2)