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Popular >

simplify (4^4)/(4!)2.72^{(-4)}

Solution

simplify

\frac{4 ^{4}}{4 !} 2.7 2^{(- 4)}

Solution

0.19487 \dots

Solution steps

\frac{4 ^{4}}{4 !} \cdot 2.7 2^{(- 4)}

Apply exponent rule:

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

= \frac{4 ^{4}}{4 !} \cdot \frac{1}{2.7 2 ^{4}}

Multiply fractions:

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

= \frac{4 ^{4} \cdot 1}{4 ! \cdot 2.7 2 ^{4}}

Multiply:

4^{4} \cdot 1 = 4^{4}

= \frac{4 ^{4}}{2.7 2 ^{4} \cdot 4 !}

4^{4} = 256

= \frac{256}{2.7 2 ^{4} \cdot 4 !}

4! \cdot 2.7 2^{4} = 1313.67174 \dots

= \frac{256}{1313.67174 \dots}

Divide the numbers:

\frac{256}{1313.67174 \dots} = 0.19487 \dots

= 0.19487 \dots

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Frequently Asked Questions (FAQ)

What is (4^4)/(4!)2.72^{(-4)} ?
The solution to (4^4)/(4!)2.72^{(-4)} is 0.19487…