What is (3a^{-2})^3(a^3)^{-4} ?

The solution to (3a^{-2})^3(a^3)^{-4} is (27)/(a^{18)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3a^{-2})^3(a^3)^{-4}

simplify

(3 a^{- 2})^{3} (a^{3})^{- 4}

\frac{27}{a ^{18}}

Solution steps

(3 a^{- 2})^{3} (a^{3})^{- 4}

Simplify

(3 a^{- 2})^{3} : \frac{27}{a ^{6}}

= \frac{27}{a ^{6}} (a^{3})^{- 4}

Simplify

(a^{3})^{- 4} : \frac{1}{a ^{12}}

= \frac{27}{a ^{6}} \cdot \frac{1}{a ^{12}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{27 \cdot 1}{a ^{6} a ^{12}}

Multiply the numbers:

27 \cdot 1 = 27

= \frac{27}{a ^{6} a ^{12}}

Simplify

a^{6} a^{12} : a^{18}

= \frac{27}{a ^{18}}

x \cdot x^{- \frac{1}{9}}

x^{2} - 8 x \geq - 12

∣ x + 6 ∣ \geq 9

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

2 \cdot 1 0^{- 2}

What is (3a^{-2})^3(a^3)^{-4} ?
The solution to (3a^{-2})^3(a^3)^{-4} is (27)/(a^{18)}