What is 1.9e^{-6}*2.34e^4 ?

The solution to 1.9e^{-6}*2.34e^4 is 0.60170…

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simplify 1.9e^{-6}*2.34e^4

simplify

1.9 e^{- 6} \cdot 2.34 e^{4}

0.60170 \dots

Solution steps

1.9 e^{- 6} \cdot 2.34 e^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 6} e^{4} = e^{- 6 + 4}

= 1.9 \cdot 2.34 e^{- 6 + 4}

Add/Subtract the numbers:

- 6 + 4 = - 2

= 1.9 \cdot 2.34 e^{- 2}

Apply exponent rule:

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

e^{- 2} = \frac{1}{e ^{2}}

= 1.9 \cdot 2.34 \cdot \frac{1}{e ^{2}}

Multiply the numbers:

1.9 \cdot 2.34 = 4.446

= 4.446 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 4.446}{e ^{2}}

Multiply the numbers:

1 \cdot 4.446 = 4.446

= \frac{4.446}{e ^{2}}

Convert element to a decimal form

e^{2} = 7.38905 \dots

= \frac{4.446}{7.38905 \dots}

Divide the numbers:

\frac{4.446}{7.38905 \dots} = 0.60170 \dots

= 0.60170 \dots

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