What is simplify-10000e^{-0.01(1.7*60)} ?

The solution to simplify-10000e^{-0.01(1.7*60)} is -3605.94940…

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simplify-10000e^{-0.01(1.7*60)}

simplify

- 10000 e^{- 0.01 (1.7 \cdot 60)}

- 3605.94940 \dots

Solution steps

- 10000 e^{- 0.01 (1.7 \cdot 60)}

Apply exponent rule:

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

= - 10000 \cdot \frac{1}{e ^{60 \cdot 0.01 \cdot 1.7}}

Multiply the numbers:

0.01 \cdot 1.7 \cdot 60 = 1.02

= - 10000 \cdot \frac{1}{e ^{1.02}}

Multiply fractions:

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

= - \frac{1 \cdot 10000}{e ^{1.02}}

Multiply the numbers:

1 \cdot 10000 = 10000

= - \frac{10000}{e ^{1.02}}

Simplify

\frac{10000}{e ^{1.02}} : 3605.94940 \dots

= - 3605.94940 \dots

e^{- 11.7}

e^{- 11.4}

5^{n} x^{n}

(3 a^{2} b^{3}) (2 a b^{2})

(4.1 \cdot 1 0^{3}) (2 \cdot 1 0^{3})

What is simplify-10000e^{-0.01(1.7*60)} ?
The solution to simplify-10000e^{-0.01(1.7*60)} is -3605.94940…