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Popular >

simplify (12j^5)/((3j^4)^4)

Solution

simplify

\frac{12 j ^{5}}{( 3 j ^{4} ) ^{4}}

Solution

\frac{4}{27 j ^{11}}

Solution steps

\frac{12 j ^{5}}{( 3 j ^{4} ) ^{4}}

Simplify

(3 j^{4})^{4} : 3^{4} j^{16}

= \frac{12 j ^{5}}{3 ^{4} j ^{16}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4 j ^{5}}{3 ^{4} j ^{16}}

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

= \frac{4 j ^{5}}{3 ^{3} j ^{16}}

Simplify

\frac{j ^{5}}{j ^{16}} : \frac{1}{j ^{11}}

= \frac{4}{3 ^{3} j ^{11}}

3^{3} = 27

= \frac{4}{27 j ^{11}}

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Frequently Asked Questions (FAQ)

What is (12j^5)/((3j^4)^4) ?
The solution to (12j^5)/((3j^4)^4) is 4/(27j^{11)}