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

The solution to (2/a)^3(((4b)/(3a))^3)^{-4} is (531441a^9)/(2097152b^{12)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

(\frac{2}{a})^{3} ((\frac{4 b}{3 a})^{3})^{- 4}

\frac{531441 a ^{9}}{2097152 b ^{12}}

Solution steps

(\frac{2}{a})^{3} ((\frac{4 b}{3 a})^{3})^{- 4}

Simplify

(\frac{2}{a})^{3} : \frac{8}{a ^{3}}

= \frac{8}{a ^{3}} ((\frac{4 b}{3 a})^{3})^{- 4}

Simplify

((\frac{4 b}{3 a})^{3})^{- 4} : \frac{531441 a ^{12}}{16777216 b ^{12}}

= \frac{8}{a ^{3}} \cdot \frac{531441 a ^{12}}{16777216 b ^{12}}

Apply the fraction rule:

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

= \frac{8 \cdot 531441 a ^{12}}{a ^{3} \cdot 16777216 b ^{12}}

Factor the number:

16777216 = 8 \cdot 2097152

= \frac{8 \cdot 531441 a ^{12}}{a ^{3} \cdot 8 \cdot 2097152 b ^{12}}

Divide the numbers:

\frac{8}{8} = 1

= \frac{531441 a ^{12}}{a ^{3} \cdot 2097152 b ^{12}}

Simplify

\frac{a ^{12}}{a ^{3}} : a^{9}

= \frac{531441 a ^{9}}{2097152 b ^{12}}

\frac{( ( x - sin ( x ) ) ^{2} )}{x ^{2}}

2 e^{3 x} \cdot 6 e^{3 x}

2 e^{- 2 t} \frac{1}{2}

(8.7 \cdot 1 0^{7}) (1.9 \cdot 1 0^{11})

\frac{( 1 + cot ( x ) ) ^{2}}{( 1 - cot ( x ) ) ^{2}}

What is (2/a)^3(((4b)/(3a))^3)^{-4} ?
The solution to (2/a)^3(((4b)/(3a))^3)^{-4} is (531441a^9)/(2097152b^{12)}