What is e^{-3/4 (2-3)^{4/3}}*10000 ?

The solution to e^{-3/4 (2-3)^{4/3}}*10000 is (10000)/(e^{3/4)}

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simplify e^{-3/4 (2-3)^{4/3}}*10000

simplify

e^{- \frac{3}{4} (2 - 3)^{\frac{4}{3}}} \cdot 10000

\frac{10000}{e ^{\frac{3}{4}}}

Decimal Notation

4723.66552 \dots

Solution steps

e^{- \frac{3}{4} (2 - 3)^{\frac{4}{3}}} \cdot 10000

Apply exponent rule:

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

= 10000 \cdot \frac{1}{e ^{\frac{3}{4} (2 - 3)^{\frac{4}{3}}}}

\frac{1}{e ^{\frac{3}{4} (2 - 3)^{\frac{4}{3}}}} = \frac{1}{e ^{\frac{3}{4}}}

= 10000 \cdot \frac{1}{e ^{\frac{3}{4}}}

Multiply fractions:

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

= \frac{1 \cdot 10000}{e ^{\frac{3}{4}}}

Multiply the numbers:

1 \cdot 10000 = 10000

= \frac{10000}{e ^{\frac{3}{4}}}

e^{- 0.51353}

e^{- 2 x} \cdot cos (8 - 3 x^{2}) d x

0.25 \cdot 1 0^{- 1}

(((- 2)^{2})^{2})^{2}

4.93 \cdot 1 0^{- 5}

What is e^{-3/4 (2-3)^{4/3}}*10000 ?
The solution to e^{-3/4 (2-3)^{4/3}}*10000 is (10000)/(e^{3/4)}