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Popular >

simplify (12c^9)/((4c)^4)

Solution

simplify

\frac{12 c ^{9}}{( 4 c ) ^{4}}

Solution

\frac{3 c ^{5}}{64}

Solution steps

\frac{12 c ^{9}}{( 4 c ) ^{4}}

Apply exponent rule:

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

(4 c)^{4} = 4^{4} c^{4}

= \frac{12 c ^{9}}{4 ^{4} c ^{4}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 c ^{9}}{4 ^{4} c ^{4}}

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

= \frac{3 c ^{9}}{4 ^{3} c ^{4}}

Simplify

\frac{c ^{9}}{c ^{4}} : c^{5}

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

4^{3} = 64

= \frac{3 c ^{5}}{64}

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Frequently Asked Questions (FAQ)

What is (12c^9)/((4c)^4) ?
The solution to (12c^9)/((4c)^4) is (3c^5)/(64)