What is 30*(10)e^{2-1}(-1)e^2 ?

The solution to 30*(10)e^{2-1}(-1)e^2 is -300e^3

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simplify 30*(10)e^{2-1}(-1)e^2

simplify

30 \cdot (10) e^{2 - 1} (- 1) e^{2}

- 300 e^{3}

Decimal Notation

- 6025.66107 \dots

Solution steps

30 (10) e^{2 - 1} (- 1) e^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{2 - 1} e^{2} = e^{2 - 1 + 2}

= 30 \cdot 10 (- 1) e^{2 - 1 + 2}

Add/Subtract the numbers:

2 - 1 + 2 = 3

= 30 \cdot 10 (- 1) e^{3}

Remove parentheses:

(- a) = - a

= - 30 \cdot 10 \cdot 1 \cdot e^{3}

Multiply the numbers:

30 \cdot 10 \cdot 1 = 300

= - 300 e^{3}

3 e^{- 2 t} sin (π (t - 1)) 1 (t - 1)

e^{- y} (- 2 x)

2^{5} 0. 6^{- 5}

(λ e^{- λ x}) \cdot (λ^{2} e^{- λ x})

What is 30*(10)e^{2-1}(-1)e^2 ?
The solution to 30*(10)e^{2-1}(-1)e^2 is -300e^3