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Popular >

simplify (12s^6)/((4s)^4)

Solution

simplify

\frac{12 s ^{6}}{( 4 s ) ^{4}}

Solution

\frac{3 s ^{2}}{64}

Solution steps

\frac{12 s ^{6}}{( 4 s ) ^{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 s)^{4} = 4^{4} s^{4}

= \frac{12 s ^{6}}{4 ^{4} s ^{4}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 s ^{6}}{4 ^{4} s ^{4}}

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

= \frac{3 s ^{6}}{4 ^{3} s ^{4}}

Simplify

\frac{s ^{6}}{s ^{4}} : s^{2}

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

4^{3} = 64

= \frac{3 s ^{2}}{64}

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Frequently Asked Questions (FAQ)

What is (12s^6)/((4s)^4) ?
The solution to (12s^6)/((4s)^4) is (3s^2)/(64)