What is 2400*1/1000*(1^2)/(2.54^2)*1/(4.448) ?

The solution to 2400*1/1000*(1^2)/(2.54^2)*1/(4.448) is 0.08363…

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simplify 24001/1000(1^2)/(2.54^2)*1/(4.448)

simplify

2400 \cdot \frac{1}{1000} \cdot \frac{1 ^{2}}{2.5 4 ^{2}} \cdot \frac{1}{4.448}

0.08363 \dots

Solution steps

2400 \cdot \frac{1}{1000} \cdot \frac{1 ^{2}}{2.5 4 ^{2}} \cdot \frac{1}{4.448}

Apply exponent rule:

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

\frac{1 ^{2}}{2.5 4 ^{2}} = (\frac{1}{2.54})^{2}

= 2400 (\frac{1}{2.54})^{2} \frac{1}{1000} \cdot \frac{1}{4.448}

(\frac{1}{2.54})^{2} = \frac{1}{2.5 4 ^{2}}

= 2400 \cdot \frac{1}{1000} \cdot \frac{1}{4.448} \cdot \frac{1}{2.5 4 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 1 \cdot 2400}{1000 \cdot 2.5 4 ^{2} \cdot 4.448}

Multiply the numbers:

1 \cdot 1 \cdot 1 \cdot 2400 = 2400

= \frac{2400}{1000 \cdot 2.5 4 ^{2} \cdot 4.448}

Multiply the numbers:

1000 \cdot 4.448 = 4448

= \frac{2400}{4448 \cdot 2.5 4 ^{2}}

Cancel the common factor:

32

= \frac{75}{139 \cdot 2.5 4 ^{2}}

139 \cdot 2.5 4^{2} = 896.7724

= \frac{75}{896.7724}

Divide the numbers:

\frac{75}{896.7724} = 0.08363 \dots

= 0.08363 \dots

\frac{1}{s - 4} \cdot e^{- s^{2}}

(- 4 e^{- 4 t} 2 e^{2 t} 4) \cdot (e^{- 4 t} e^{2 t} 4 t)

15. 4^{2} \cdot \frac{1. 8 ^{2}}{1. 1 ^{2}}

1.38 \cdot 1 0^{- 23} \cdot 298 \cdot ln (1 0^{2.19})

- \frac{e ^{- x}}{e ^{- 2 x}}

What is 2400*1/1000*(1^2)/(2.54^2)*1/(4.448) ?
The solution to 2400*1/1000*(1^2)/(2.54^2)*1/(4.448) is 0.08363…