What is (b*(2 a/(36))^3)/((4 a/b)^2) ?

The solution to (b*(2 a/(36))^3)/((4 a/b)^2) is (b^3a)/(93312)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (b*(2 a/(36))^3)/((4 a/b)^2)

simplify

\frac{b \cdot ( 2 \frac{a}{36} ) ^{3}}{( 4 \frac{a}{b} ) ^{2}}

\frac{b ^{3} a}{93312}

Solution steps

\frac{b ( 2 \cdot \frac{a}{36} ) ^{3}}{( 4 \cdot \frac{a}{b} ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 \cdot \frac{a}{36})^{3} = 2^{3} (\frac{a}{36})^{3}

= \frac{b \cdot 2 ^{3} ( \frac{a}{36} ) ^{3}}{( 4 \cdot \frac{a}{b} ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 \cdot \frac{a}{b})^{2} = 4^{2} (\frac{a}{b})^{2}

= \frac{b \cdot 2 ^{3} ( \frac{a}{36} ) ^{3}}{4 ^{2} ( \frac{a}{b} ) ^{2}}

Factor

4^{2} : 2^{4}

= \frac{b \cdot 2 ^{3} ( \frac{a}{36} ) ^{3}}{2 ^{4} ( \frac{a}{b} ) ^{2}}

\frac{2 ^{3}}{2 ^{4}} = \frac{1}{2}

= \frac{b ( \frac{a}{36} ) ^{3}}{2 ( \frac{a}{b} ) ^{2}}

Simplify

\frac{b ( \frac{a}{36} ) ^{3}}{2 ( \frac{a}{b} ) ^{2}} : \frac{b ^{3} a}{93312}

= \frac{b ^{3} a}{93312}

(- 1 x^{2} - 3) - (- 1.1)

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

2 x^{3} - x^{2} + 9 x + 5

(100 - q)^{3}

28 n - 7 x - 5.5 n - 6.3 x

What is (b*(2 a/(36))^3)/((4 a/b)^2) ?
The solution to (b*(2 a/(36))^3)/((4 a/b)^2) is (b^3a)/(93312)