What is e^{-0.03}[0.3522*0+(1-0.3522)*10] ?

The solution to e^{-0.03}[0.3522*0+(1-0.3522)*10] is 6.28654…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-0.03}[0.35220+(1-0.3522)10]

simplify

e^{- 0.03} [0.3522 \cdot 0 + (1 - 0.3522) \cdot 10]

6.28654 \dots

Solution steps

e^{- 0.03} [0.3522 \cdot 0 + (1 - 0.3522) \cdot 10]

Apply exponent rule:

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

= \frac{1}{e ^{0.03}} [10 (1 - 0.3522) + 0 \cdot 0.3522]

0.3522 \cdot 0 = 0

(1 - 0.3522) \cdot 10 = 6.478

= \frac{1}{e ^{0.03}} (0 + 6.478)

Add the numbers:

0 + 6.478 = 6.478

= 6.478 \cdot \frac{1}{e ^{0.03}}

Multiply fractions:

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

= \frac{1 \cdot 6.478}{e ^{0.03}}

Multiply the numbers:

1 \cdot 6.478 = 6.478

= \frac{6.478}{e ^{0.03}}

e^{0.03} = 1.03045 \dots

= \frac{6.478}{1.03045 \dots}

Divide the numbers:

\frac{6.478}{1.03045 \dots} = 6.28654 \dots

= 6.28654 \dots

1 \cdot 1 \cdot (1 - 0.045)^{100 - 0}

5.21 \cdot 1 0^{- 10}

\frac{( \frac{9}{2} ) ^{10}}{( \frac{4}{9} ) ^{10}}

(π^{2})^{2}

What is e^{-0.03}[0.3522*0+(1-0.3522)*10] ?
The solution to e^{-0.03}[0.3522*0+(1-0.3522)*10] is 6.28654…