What is 4pi^2*10^{-2*(-4.54394)} ?

The solution to 4pi^2*10^{-2*(-4.54394)} is 48332553096.49394

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4pi^210^{-2(-4.54394)}

simplify

4 π^{2} \cdot 1 0^{- 2 \cdot (- 4.54394)}

48332553096.49394

Solution steps

4 π^{2} \cdot 1 0^{- 2 (- 4.54394)}

Apply exponent rule:

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

= 4 π^{2} \frac{1}{1 0 ^{2 (- 4.54394)}}

Remove parentheses:

(- a) = - a

= 4 π^{2} \frac{1}{1 0 ^{- 2 \cdot 4.54394}}

\frac{1}{1 0 ^{- 2 \cdot 4.54394}} = 1 0^{9.08788}

= 4 \cdot 1 0^{9.08788} π^{2}

Convert element to a decimal form

π^{2} = 9.86960 \dots

= 4 \cdot 1 0^{9.08788} \cdot 9.86960 \dots

1 0^{9.08788} = 1224277872.048226

= 4 \cdot 9.86960 \dots \cdot 1224277872.048226

Multiply the numbers:

4 \cdot 9.86960 \dots \cdot 1224277872.048226 = 48332553096.49394

= 48332553096.49394

10 x e^{(- 4 x)}

\frac{4}{π} 1 0^{- 2}

e^{- 3 t} sin (2 wt)

What is 4pi^2*10^{-2*(-4.54394)} ?
The solution to 4pi^2*10^{-2*(-4.54394)} is 48332553096.49394