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Popular >

simplify (12k^7)/((4k)^4)

Solution

simplify

\frac{12 k ^{7}}{( 4 k ) ^{4}}

Solution

\frac{3 k ^{3}}{64}

Solution steps

\frac{12 k ^{7}}{( 4 k ) ^{4}}

Apply exponent rule:

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

(4 k)^{4} = 4^{4} k^{4}

= \frac{12 k ^{7}}{4 ^{4} k ^{4}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 k ^{7}}{4 ^{4} k ^{4}}

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

= \frac{3 k ^{7}}{4 ^{3} k ^{4}}

Simplify

\frac{k ^{7}}{k ^{4}} : k^{3}

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

4^{3} = 64

= \frac{3 k ^{3}}{64}

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Frequently Asked Questions (FAQ)

What is (12k^7)/((4k)^4) ?
The solution to (12k^7)/((4k)^4) is (3k^3)/(64)