What is 285e^{-0.05(25)} ?

The solution to 285e^{-0.05(25)} is 81.65386…

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simplify 285e^{-0.05(25)}

simplify

285 e^{- 0.05 (25)}

81.65386 \dots

Solution steps

285 e^{- 0.05 (25)}

Apply exponent rule:

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

= 285 \cdot \frac{1}{e ^{25 \cdot 0.05}}

Multiply the numbers:

0.05 \cdot 25 = 1.25

= 285 \cdot \frac{1}{e ^{1.25}}

Multiply fractions:

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

= \frac{1 \cdot 285}{e ^{1.25}}

Multiply the numbers:

1 \cdot 285 = 285

= \frac{285}{e ^{1.25}}

e^{1.25} = 3.49034 \dots

= \frac{285}{3.49034 \dots}

Divide the numbers:

\frac{285}{3.49034 \dots} = 81.65386 \dots

= 81.65386 \dots

10 \cdot (5 \cdot 1 0^{5})

17 d^{9} e^{4} 51 e^{6}

x (x sec^{2} (x + c))

0.54 e^{- 2 (0.39)}