What is 100(30e^{-2(0.5)})(15-15e^{-2(0.5)}) ?

The solution to 100(30e^{-2(0.5)})(15-15e^{-2(0.5)}) is (3000(15e-15))/(e^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 100(30e^{-2(0.5)})(15-15e^{-2(0.5)})

simplify

100 (30 e^{- 2 (0.5)}) (15 - 15 e^{- 2 (0.5)})

\frac{3000 ( 15 e - 15 )}{e ^{2}}

Decimal Notation

10464.48710 \dots

Solution steps

100 (30 e^{- 2 (0.5)}) (15 - 15 e^{- 2 (0.5)})

Apply exponent rule:

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

= 100 \cdot 30 \cdot \frac{1}{e ^{2 \cdot 0.5}} (- 15 e^{- 2 \cdot 0.5} + 15)

e^{2 \cdot 0.5} = e

= 100 \cdot 30 \cdot \frac{1}{e} (- 15 e^{- 2 \cdot 0.5} + 15)

15 e^{- 2 \cdot 0.5} = \frac{15}{e}

= 100 \cdot 30 \cdot \frac{1}{e} (- \frac{15}{e} + 15)

Multiply fractions:

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

= \frac{1 \cdot 100 \cdot 30 ( 15 - \frac{15}{e} )}{e}

Multiply the numbers:

1 \cdot 100 \cdot 30 = 3000

= \frac{3000 ( - \frac{15}{e} + 15 )}{e}

Join

15 - \frac{15}{e} : \frac{15 e - 15}{e}

= \frac{3000 \cdot \frac{15 e - 15}{e}}{e}

Multiply

3000 \cdot \frac{15 e - 15}{e} : \frac{3000 ( 15 e - 15 )}{e}

= \frac{\frac{3000 ( 15 e - 15 )}{e}}{e}

Apply the fraction rule:

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

= \frac{( 15 e - 15 ) \cdot 3000}{ee}

ee = e^{2}

= \frac{3000 ( 15 e - 15 )}{e ^{2}}

e^{- t \cdot s}

300 (e^{0.5})^{(0)}

100 e^{- 62 t}

6 e^{- 2 t}

(- 2.3) (8.31) (298) (lo g_{10} (6.45) 1 0^{- 8})

What is 100(30e^{-2(0.5)})(15-15e^{-2(0.5)}) ?
The solution to 100(30e^{-2(0.5)})(15-15e^{-2(0.5)}) is (3000(15e-15))/(e^2)