en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify [(-3)^{-2}]^{1/2}

Solution

simplify

[(- 3)^{- 2}]^{\frac{1}{2}}

Solution

- \frac{1}{3}

+1

Decimal Notation

- 0.33333 \dots

Solution steps

[(- 3)^{- 2}]^{\frac{1}{2}}

Apply exponent rule:

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

= (- 3)^{(- 2) \frac{1}{2}}

(- 2) \frac{1}{2} = - 1

= (- 3)^{- 1}

Apply exponent rule:

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

= \frac{1}{- 3}

Apply the fraction rule:

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

= - \frac{1}{3}

Popular Examples

simplify (x-2)^2(y-4)^236 simplify

(x - 2)^{2} (y - 4)^{2} 36

simplify \sqrt[3]{2^p}simplify

simplify x(x^2+1)(x+2)^2(x-2)^2 simplify

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

simplify 1.03529*10^{-6}simplify

1.03529 \cdot 1 0^{- 6}

join sqrt(x)sqrt(x^2+x)join

x x^{2} + x

Frequently Asked Questions (FAQ)

What is [(-3)^{-2}]^{1/2} ?
The solution to [(-3)^{-2}]^{1/2} is -1/3