What is ((3n^4)(6n^2))/((6n^3)^2) ?

The solution to ((3n^4)(6n^2))/((6n^3)^2) is 1/2

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simplify ((3n^4)(6n^2))/((6n^3)^2)

simplify

\frac{( 3 n ^{4} ) ( 6 n ^{2} )}{( 6 n ^{3} ) ^{2}}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

\frac{( 3 n ^{4} ) ( 6 n ^{2} )}{( 6 n ^{3} ) ^{2}}

Remove parentheses:

(a) = a

= \frac{3 n ^{4} \cdot 6 n ^{2}}{( 6 n ^{3} ) ^{2}}

3 n^{4} \cdot 6 n^{2} = 18 n^{6}

= \frac{18 n ^{6}}{( 6 n ^{3} ) ^{2}}

Factor

(6 n^{3})^{2} : 2^{2} \cdot 3^{2} n^{6}

Factor

18 : 3^{2} \cdot 2

= \frac{3 ^{2} \cdot 2 n ^{6}}{2 ^{2} \cdot 3 ^{2} n ^{6}}

Cancel

\frac{2 \cdot 3 ^{2} n ^{6}}{2 ^{2} \cdot 3 ^{2} n ^{6}} : \frac{1}{2}

= \frac{1}{2}

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What is ((3n^4)(6n^2))/((6n^3)^2) ?
The solution to ((3n^4)(6n^2))/((6n^3)^2) is 1/2