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Popular >

simplify (6s^7)/((3s^3)^5)

Solution

simplify

\frac{6 s ^{7}}{( 3 s ^{3} ) ^{5}}

Solution

\frac{2}{81 s ^{8}}

Solution steps

\frac{6 s ^{7}}{( 3 s ^{3} ) ^{5}}

Simplify

(3 s^{3})^{5} : 3^{5} s^{15}

= \frac{6 s ^{7}}{3 ^{5} s ^{15}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2 s ^{7}}{3 ^{5} s ^{15}}

\frac{3}{3 ^{5}} = \frac{1}{3 ^{4}}

= \frac{2 s ^{7}}{3 ^{4} s ^{15}}

Simplify

\frac{s ^{7}}{s ^{15}} : \frac{1}{s ^{8}}

= \frac{2}{3 ^{4} s ^{8}}

3^{4} = 81

= \frac{2}{81 s ^{8}}

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Frequently Asked Questions (FAQ)

What is (6s^7)/((3s^3)^5) ?
The solution to (6s^7)/((3s^3)^5) is 2/(81s^8)