What is (16!)/((16-6)!6!)0.5^60.5^{16-6} ?

The solution to (16!)/((16-6)!6!)0.5^60.5^{16-6} is 1001/8192

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simplify (16!)/((16-6)!6!)0.5^60.5^{16-6}

simplify

\frac{16 !}{( 16 - 6 ) ! 6 !} 0. 5^{6} 0. 5^{16 - 6}

\frac{1001}{8192}

Decimal Notation

0.12219 \dots

Solution steps

\frac{16 !}{( 16 - 6 ) ! \cdot 6 !} \cdot 0. 5^{6} \cdot 0. 5^{16 - 6}

0. 5^{6} \cdot 0. 5^{16 - 6} = 0.00001 \dots

= \frac{16 !}{( 16 - 6 ) ! \cdot 6 !} \cdot 0.00001 \dots

\frac{16 !}{( 16 - 6 ) ! \cdot 6 !} = \frac{5765760}{6 !}

= 0.00001 \dots \cdot \frac{5765760}{6 !}

Multiply fractions:

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

= \frac{5765760 \cdot 0.00001 \dots}{6 !}

Multiply the numbers:

5765760 \cdot 0.00001 \dots = 87.97851 \dots

= \frac{87.97851 \dots}{6 !}

6! = 720

= \frac{87.97851 \dots}{720}

\frac{87.97851 \dots}{720} = \frac{87978515625}{720000000000}

= \frac{87978515625}{720000000000}

Cancel

\frac{87978515625}{720000000000} : \frac{1001}{8192}

= \frac{1001}{8192}

- 4 x^{2} + 17 x - 4 = 0

y^{2} - 14 y + 33

3 - 2 (x + 3) = \frac{x}{3} - 5

9 a^{2} - 30 = 3 a

3 x - \frac{1}{4} = 2 x + \frac{1}{3} - \frac{5}{6}

What is (16!)/((16-6)!6!)0.5^60.5^{16-6} ?
The solution to (16!)/((16-6)!6!)0.5^60.5^{16-6} is 1001/8192