en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-1/3)^5

Solution

simplify

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

Solution

- \frac{1}{243}

+1

Solution steps

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

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

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

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

Apply exponent rule:

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

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

= - \frac{1 ^{5}}{3 ^{5}}

1^{5} = 1

= - \frac{1}{3 ^{5}}

3^{5} = 243

= - \frac{1}{243}

Popular Examples

simplify (-12)+(-11)simplify

(- 12) + (- 11)

simplify (a^3b^{-2})/(ab)simplify

\frac{a ^{3} b ^{- 2}}{ab}

simplify 1/(3-2i)simplify

\frac{1}{3 - 2 i}

simplify b^2*b^2 simplify

b^{2} \cdot b^{2}

simplify-2x+5x simplify

- 2 x + 5 x

Frequently Asked Questions (FAQ)

What is (-1/3)^5 ?
The solution to (-1/3)^5 is -1/243