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Popular >

simplify ((3s^5)^3)/(12s^5)

Solution

simplify

\frac{( 3 s ^{5} ) ^{3}}{12 s ^{5}}

Solution

\frac{9 s ^{10}}{4}

Solution steps

\frac{( 3 s ^{5} ) ^{3}}{12 s ^{5}}

Simplify

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

= \frac{3 ^{3} s ^{15}}{12 s ^{5}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 ^{3} s ^{15}}{3 \cdot 4 s ^{5}}

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

= \frac{3 ^{2} s ^{15}}{4 s ^{5}}

Simplify

\frac{s ^{15}}{s ^{5}} : s^{10}

= \frac{3 ^{2} s ^{10}}{4}

3^{2} = 9

= \frac{9 s ^{10}}{4}

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Frequently Asked Questions (FAQ)

What is ((3s^5)^3)/(12s^5) ?
The solution to ((3s^5)^3)/(12s^5) is (9s^{10})/4