What is ((3b)/(10b^3))^4 ?

The solution to ((3b)/(10b^3))^4 is (81)/(10000b^8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((3b)/(10b^3))^4

simplify

(\frac{3 b}{10 b ^{3}})^{4}

\frac{81}{10000 b ^{8}}

Solution steps

(\frac{3 b}{10 b ^{3}})^{4}

Apply exponent rule:

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

= \frac{( 3 b ) ^{4}}{( 10 b ^{3} ) ^{4}}

Simplify

(3 b)^{4} : 81 b^{4}

= \frac{81 b ^{4}}{( 10 b ^{3} ) ^{4}}

Simplify

(10 b^{3})^{4} : 10000 b^{12}

= \frac{81 b ^{4}}{10000 b ^{12}}

Apply exponent rule:

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

\frac{b ^{4}}{b ^{12}} = \frac{1}{b ^{12 - 4}}

= \frac{81}{10000 b ^{12 - 4}}

Subtract the numbers:

12 - 4 = 8

= \frac{81}{10000 b ^{8}}

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

∣ 2 x ∣ > 8

27 - 12 + 48

x (x - 1) \leq 0

2 \leq x + 5 < 4