What is (7!)/(1!(7-1)!)(0.25)(0.75)^6(0.25) ?

The solution to (7!)/(1!(7-1)!)(0.25)(0.75)^6(0.25) is 0.07786…

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simplify (7!)/(1!(7-1)!)(0.25)(0.75)^6(0.25)

simplify

\frac{7 !}{1 ! ( 7 - 1 ) !} (0.25) (0.75)^{6} (0.25)

0.07786 \dots

Solution steps

\frac{7 !}{1 ! ( 7 - 1 ) !} (0.25) \cdot 0.7 5^{6} (0.25)

Apply rule:

(a) = a

(0.25) = 0.25

= \frac{7 !}{1 ! ( 7 - 1 ) !} \cdot 0.25 \cdot 0.7 5^{6} \cdot 0.25

0.7 5^{6} = 0.17797 \dots

= \frac{7 !}{1 ! ( 7 - 1 ) !} \cdot 0.25 \cdot 0.17797 \dots \cdot 0.25

Cancel

\frac{7 !}{1 ! ( 7 - 1 ) !} : 7

= 7 \cdot 0.25 \cdot 0.17797 \dots \cdot 0.25

Multiply the numbers:

7 \cdot 0.25 \cdot 0.17797 \dots \cdot 0.25 = 0.07786 \dots

= 0.07786 \dots

1.5 \cdot 1 0^{- 5} \cdot 0.02

x^{2} y^{2} (x^{8} + y^{8})

5.788 \cdot e^{- 3}

(3 x^{4} y^{6}) 3

What is (7!)/(1!(7-1)!)(0.25)(0.75)^6(0.25) ?
The solution to (7!)/(1!(7-1)!)(0.25)(0.75)^6(0.25) is 0.07786…