en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a^{-3})^2

Solution

simplify

(a^{- 3})^{2}

Solution

\frac{1}{a ^{6}}

Solution steps

(a^{- 3})^{2}

Apply exponent rule:

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

assuming

a \geq 0

= a^{- 3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= a^{- 6}

Apply exponent rule:

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

a^{- 6} = \frac{1}{a ^{6}}

= \frac{1}{a ^{6}}

Popular Examples

2000-100p=2692-2p

2000 - 100 p = 2692 - 2 p

3 + 10 ∣ 2 + x ∣ = 103

simplify (1/5 a^3b^2+1/2 b^5)^2 simplify

(\frac{1}{5} a^{3} b^{2} + \frac{1}{2} b^{5})^{2}

simplify (-5x^2y)(3x^4)simplify

(- 5 x^{2} y) (3 x^{4})

(-6x^2+2)/((x^2-1)^3)>0

\frac{- 6 x ^{2} + 2}{( x ^{2} - 1 ) ^{3}} > 0

Frequently Asked Questions (FAQ)

What is (a^{-3})^2 ?
The solution to (a^{-3})^2 is 1/(a^6)