What is 50e^{-0.052680257} ?

The solution to 50e^{-0.052680257} is 47.43416…

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simplify 50e^{-0.052680257}

simplify

50 e^{- 0.052680257}

47.43416 \dots

Solution steps

50 e^{- 0.052680257}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{0.052680257}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{0.052680257}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.052680257}}

e^{0.052680257} = 1.05409 \dots

= \frac{50}{1.05409 \dots}

Divide the numbers:

\frac{50}{1.05409 \dots} = 47.43416 \dots

= 47.43416 \dots

1.96 \cdot 1 0^{- 3} \cdot 1.6358

+ 51.2 \cdot 1 0^{- 19}

- 0.96 e^{- 0.006 t}

(3.1 \cdot 1 0^{- 9}) (12)