What is (24!)/(3!*21!)*(44)^3*(956)^{-21} ?

The solution to (24!)/(3!*21!)*(44)^3*(956)^{-21} is (336743)/(2^{33)*239^{21}}

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simplify (24!)/(3!21!)(44)^3*(956)^{-21}

simplify

\frac{24 !}{3 ! \cdot 21 !} \cdot (44)^{3} \cdot (956)^{- 21}

\frac{336743}{2 ^{33} \cdot 23 9 ^{21}}

Decimal Notation

4.4356 E - 55

Solution steps

\frac{24 !}{3 ! \cdot 21 !} \cdot 4 4^{3} \cdot 95 6^{- 21}

4 4^{3} = 85184

= \frac{24 !}{3 ! \cdot 21 !} \cdot 85184 \cdot 95 6^{- 21}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

95 6^{- 21} = \frac{1}{95 6 ^{21}}

= \frac{24 !}{3 ! \cdot 21 !} \cdot 85184 \cdot \frac{1}{95 6 ^{21}}

Cancel

\frac{24 !}{3 ! \cdot 21 !} : 2024

= 2024 \cdot 85184 \cdot \frac{1}{95 6 ^{21}}

2024 \cdot 85184 \cdot \frac{1}{95 6 ^{21}} = \frac{336743}{2 ^{33} \cdot 23 9 ^{21}}

= \frac{336743}{2 ^{33} \cdot 23 9 ^{21}}

8.5 \cdot 1 0^{- 1}

y^{3} x y^{-} 5

e^{- r}

What is (24!)/(3!*21!)*(44)^3*(956)^{-21} ?
The solution to (24!)/(3!*21!)*(44)^3*(956)^{-21} is (336743)/(2^{33)*239^{21}}