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Popular >

simplify (20b)/((4b^3)^3)

Solution

simplify

\frac{20 b}{( 4 b ^{3} ) ^{3}}

Solution

\frac{5}{16 b ^{8}}

Solution steps

\frac{20 b}{( 4 b ^{3} ) ^{3}}

Simplify

(4 b^{3})^{3} : 4^{3} b^{9}

= \frac{20 b}{4 ^{3} b ^{9}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 \cdot 5 b}{4 ^{3} b ^{9}}

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

= \frac{5 b}{4 ^{2} b ^{9}}

Simplify

\frac{b}{b ^{9}} : \frac{1}{b ^{8}}

= \frac{5}{4 ^{2} b ^{8}}

4^{2} = 16

= \frac{5}{16 b ^{8}}

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Frequently Asked Questions (FAQ)

What is (20b)/((4b^3)^3) ?
The solution to (20b)/((4b^3)^3) is 5/(16b^8)