What is 1.225e^{-4000/7249} ?

The solution to 1.225e^{-4000/7249} is 0.70549…

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simplify 1.225e^{-4000/7249}

simplify

1.225 e^{- \frac{4000}{7249}}

0.70549 \dots

Solution steps

1.225 e^{- \frac{4000}{7249}}

Apply exponent rule:

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

= 1.225 \cdot \frac{1}{e ^{\frac{4000}{7249}}}

Multiply fractions:

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

= \frac{1 \cdot 1.225}{e ^{\frac{4000}{7249}}}

Multiply the numbers:

1 \cdot 1.225 = 1.225

= \frac{1.225}{e ^{\frac{4000}{7249}}}

Convert element to a decimal form

e^{\frac{4000}{7249}} = 1.73637 \dots

= \frac{1.225}{1.73637 \dots}

Divide the numbers:

\frac{1.225}{1.73637 \dots} = 0.70549 \dots

= 0.70549 \dots

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