What is (16!)/((16-5)!5!)0.5^50.5^{16-5} ?

The solution to (16!)/((16-5)!5!)0.5^50.5^{16-5} is 273/4096

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simplify (16!)/((16-5)!5!)0.5^50.5^{16-5}

simplify

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

\frac{273}{4096}

Decimal Notation

0.06665 \dots

Solution steps

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

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

= \frac{16 !}{( 16 - 5 ) ! \cdot 5 !} \cdot 0.00001 \dots

\frac{16 !}{( 16 - 5 ) ! \cdot 5 !} = \frac{524160}{5 !}

= 0.00001 \dots \cdot \frac{524160}{5 !}

Multiply fractions:

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

= \frac{524160 \cdot 0.00001 \dots}{5 !}

Multiply the numbers:

524160 \cdot 0.00001 \dots = 7.99804 \dots

= \frac{7.99804 \dots}{5 !}

5! = 120

= \frac{7.99804 \dots}{120}

\frac{7.99804 \dots}{120} = \frac{7998046875}{120000000000}

= \frac{7998046875}{120000000000}

Cancel

\frac{7998046875}{120000000000} : \frac{273}{4096}

= \frac{273}{4096}

(5 - 11) (5 + 11)

7 ∣ 3 - 8 x ∣ = 28

2 \cdot (\frac{1}{2})^{- 1}

5 a^{2} + 3 a

(x - 1) (x - 2) < 0

What is (16!)/((16-5)!5!)0.5^50.5^{16-5} ?
The solution to (16!)/((16-5)!5!)0.5^50.5^{16-5} is 273/4096