What is (12!)/(6!(12-6)!)(x^2)^6(4/x)^6 ?

The solution to (12!)/(6!(12-6)!)(x^2)^6(4/x)^6 is 3784704x^6

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simplify (12!)/(6!(12-6)!)(x^2)^6(4/x)^6

simplify

\frac{12 !}{6 ! ( 12 - 6 ) !} (x^{2})^{6} (\frac{4}{x})^{6}

3784704 x^{6}

Solution steps

\frac{12 !}{6 ! ( 12 - 6 ) !} (x^{2})^{6} (\frac{4}{x})^{6}

Simplify

(x^{2})^{6} : x^{12}

= \frac{12 !}{6 ! ( 12 - 6 ) !} x^{12} (\frac{4}{x})^{6}

Simplify

(\frac{4}{x})^{6} : \frac{4096}{x ^{6}}

= \frac{12 !}{6 ! ( 12 - 6 ) !} x^{12} \frac{4096}{x ^{6}}

Cancel

\frac{12 !}{6 ! ( 12 - 6 ) !} : 924

= 924 x^{12} \frac{4096}{x ^{6}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{924 x ^{12} \cdot 4096}{x ^{6}}

Simplify

\frac{x ^{12}}{x ^{6}} : x^{6}

= 924 x^{6} \cdot 4096

Multiply the numbers:

924 \cdot 4096 = 3784704

= 3784704 x^{6}

e^{- 0.02 (10)}

45.1 \cdot 1 0^{- 5}

\frac{17}{3}

(1)^{2} \cdot e^{- 6.551 (1)}

e^{- 2 x} \cdot e^{4 x}

What is (12!)/(6!(12-6)!)(x^2)^6(4/x)^6 ?
The solution to (12!)/(6!(12-6)!)(x^2)^6(4/x)^6 is 3784704x^6