What is 4.98*10^{15}*e^{0.47(2000-2010)} ?

The solution to 4.98*10^{15}*e^{0.47(2000-2010)} is 4.52945E13

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simplify 4.9810^{15}e^{0.47(2000-2010)}

simplify

4.98 \cdot 1 0^{15} \cdot e^{0.47 (2000 - 2010)}

4.52945 E 13

Solution steps

4.98 \cdot 1 0^{15} e^{0.47 (2000 - 2010)}

e^{0.47 (2000 - 2010)} = e^{- 4.7}

= 1 0^{15} \cdot 4.98 e^{- 4.7}

Apply exponent rule:

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

e^{- 4.7} = \frac{1}{e ^{4.7}}

= 1 0^{15} \cdot 4.98 \cdot \frac{1}{e ^{4.7}}

Multiply fractions:

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

= 4.98 \cdot \frac{1 0 ^{15} \cdot 1}{e ^{4.7}}

\frac{1 \cdot 1 0 ^{15}}{e ^{4.7}} = 9095277101695.816

= 4.98 \cdot 9095277101695.816

Multiply the numbers:

4.98 \cdot 9095277101695.816 = 4.52945 E 13

= 4.52945 E 13

49 x^{2} - 77 x + 30

e^{1 + l n (x)}

\frac{- 64}{- 8}

\frac{2 π}{24}

(2 + 3 x)^{4}

What is 4.98*10^{15}*e^{0.47(2000-2010)} ?
The solution to 4.98*10^{15}*e^{0.47(2000-2010)} is 4.52945E13