What is e^{10.1}*30.5^{-1.0221} ?

The solution to e^{10.1}*30.5^{-1.0221} is 740.06761…

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simplify e^{10.1}*30.5^{-1.0221}

simplify

e^{10.1} \cdot 30. 5^{- 1.0221}

740.06761 \dots

Solution steps

e^{10.1} \cdot 30. 5^{- 1.0221}

Apply exponent rule:

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

= e^{10.1} \frac{1}{30. 5 ^{1.0221}}

Multiply fractions:

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

= \frac{1 \cdot e ^{10.1}}{30. 5 ^{1.0221}}

Multiply:

1 \cdot e^{10.1} = e^{10.1}

= \frac{e ^{10.1}}{30. 5 ^{1.0221}}

30. 5^{1.0221} = 32.89295 \dots

= \frac{e ^{10.1}}{32.89295 \dots}

e^{10.1} = 24343.00942 \dots

= \frac{24343.00942 \dots}{32.89295 \dots}

Divide the numbers:

\frac{24343.00942 \dots}{32.89295 \dots} = 740.06761 \dots

= 740.06761 \dots

0.455 \cdot 1 0^{- 6}

3.45 \cdot 1 0^{- 4}

a (a b^{2} c)

3.45 \cdot 1 0^{- 5}

\frac{d}{d x} (x^{2} + m x + 5)

What is e^{10.1}*30.5^{-1.0221} ?
The solution to e^{10.1}*30.5^{-1.0221} is 740.06761…