What is 30*10^{-6}*(1-e^{-1.6t}) ?

The solution to 30*10^{-6}*(1-e^{-1.6t}) is 0.00003(-e^{-1.6t}+1)

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simplify 3010^{-6}(1-e^{-1.6t})

simplify

30 \cdot 1 0^{- 6} \cdot (1 - e^{- 1.6 t})

0.00003 (- e^{- 1.6 t} + 1)

Solution steps

30 \cdot 1 0^{- 6} (1 - e^{- 1.6 t})

Apply exponent rule:

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

= 30 \cdot \frac{1}{1 0 ^{6}} (- e^{- 1.6 t} + 1)

Multiply fractions:

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

= \frac{1 \cdot 30}{1 0 ^{6}} (- e^{- 1.6 t} + 1)

\frac{1 \cdot 30}{1 0 ^{6}} = \frac{3}{100000}

= \frac{3}{100000} (- e^{- 1.6 t} + 1)

Convert element to a decimal form

\frac{3}{100000} = 0.00003

= 0.00003 (- e^{- 1.6 t} + 1)

(4 x^{\frac{9}{2}}) (\frac{1}{2} x^{\frac{1}{2}})

(3 \cdot 1 0^{5}) \cdot (2 \cdot 1 0^{6})

2.802 \cdot 1 0^{10} \cdot 0. 5^{2} \cdot e^{- 4.3 \cdot 0.5}

\frac{9 x}{e ^{3 x}} \cdot e^{- 3 x}

(e^{- \frac{θ}{10}})^{2}

What is 30*10^{-6}*(1-e^{-1.6t}) ?
The solution to 30*10^{-6}*(1-e^{-1.6t}) is 0.00003(-e^{-1.6t}+1)