en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^4)^{-5}

Solution

simplify

(x^{4})^{- 5}

Solution

\frac{1}{x ^{20}}

Solution steps

(x^{4})^{- 5}

Apply exponent rule:

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

assuming

a \geq 0

= x^{4 (- 5)}

4 (- 5) = - 20

= x^{- 20}

Apply exponent rule:

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

x^{- 20} = \frac{1}{x ^{20}}

= \frac{1}{x ^{20}}

Popular Examples

((x+9))/3-((x-1))/2 =9

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

2 x - 10 = x + 8

- x + 10 x = 72

factor 3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5 factor

3 a^{2} b + 6 a^{3} b^{2} - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}

factor 80r+90s factor

80 r + 90 s

Frequently Asked Questions (FAQ)

What is (x^4)^{-5} ?
The solution to (x^4)^{-5} is 1/(x^{20)}