What is e^{10.102}*30.5^{-1.0221} ?

The solution to e^{10.102}*30.5^{-1.0221} is 741.54923…

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simplify e^{10.102}*30.5^{-1.0221}

simplify

e^{10.102} \cdot 30. 5^{- 1.0221}

741.54923 \dots

Solution steps

e^{10.102} \cdot 30. 5^{- 1.0221}

Apply exponent rule:

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

= e^{10.102} \frac{1}{30. 5 ^{1.0221}}

Multiply fractions:

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

= \frac{1 \cdot e ^{10.102}}{30. 5 ^{1.0221}}

Multiply:

1 \cdot e^{10.102} = e^{10.102}

= \frac{e ^{10.102}}{30. 5 ^{1.0221}}

30. 5^{1.0221} = 32.89295 \dots

= \frac{e ^{10.102}}{32.89295 \dots}

e^{10.102} = 24391.74416 \dots

= \frac{24391.74416 \dots}{32.89295 \dots}

Divide the numbers:

\frac{24391.74416 \dots}{32.89295 \dots} = 741.54923 \dots

= 741.54923 \dots

H (t) e^{- a t}

7.6 \cdot 1 0^{- 4}

What is e^{10.102}*30.5^{-1.0221} ?
The solution to e^{10.102}*30.5^{-1.0221} is 741.54923…