en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10b^6)/((5b^3)^3)

Solution

simplify

\frac{10 b ^{6}}{( 5 b ^{3} ) ^{3}}

Solution

\frac{2}{25 b ^{3}}

Solution steps

\frac{10 b ^{6}}{( 5 b ^{3} ) ^{3}}

Simplify

(5 b^{3})^{3} : 5^{3} b^{9}

= \frac{10 b ^{6}}{5 ^{3} b ^{9}}

Factor the number:

10 = 5 \cdot 2

= \frac{5 \cdot 2 b ^{6}}{5 ^{3} b ^{9}}

\frac{5}{5 ^{3}} = \frac{1}{5 ^{2}}

= \frac{2 b ^{6}}{5 ^{2} b ^{9}}

Simplify

\frac{b ^{6}}{b ^{9}} : \frac{1}{b ^{3}}

= \frac{2}{5 ^{2} b ^{3}}

5^{2} = 25

= \frac{2}{25 b ^{3}}

Popular Examples

\frac{3}{4} m + 5 = 2

10 x^{2} = 8 x

simplify ((xy)^{1/4}(x^2y^2)^{1/2})/((x^2y)^{3/4)}simplify

\frac{( x y ) ^{\frac{1}{4}} ( x ^{2} y ^{2} ) ^{\frac{1}{2}}}{( x ^{2} y ) ^{\frac{3}{4}}}

z^{2} + 1 = 0

factor 15y^2+31y+2 factor

15 y^{2} + 31 y + 2

Frequently Asked Questions (FAQ)

What is (10b^6)/((5b^3)^3) ?
The solution to (10b^6)/((5b^3)^3) is 2/(25b^3)