What is 7e^9(1.2e^{-5})(37) ?

The solution to 7e^9(1.2e^{-5})(37) is 16969.10503…

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simplify 7e^9(1.2e^{-5})(37)

simplify

7 e^{9} (1.2 e^{- 5}) (37)

16969.10503 \dots

Solution steps

7 e^{9} (1.2 e^{- 5}) (37)

Apply exponent rule:

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

e^{9} e^{- 5} = e^{9 - 5}

= 7 \cdot 1.2 e^{9 - 5} \cdot 37

Subtract the numbers:

9 - 5 = 4

= 7 \cdot 1.2 e^{4} \cdot 37

Multiply the numbers:

7 \cdot 1.2 \cdot 37 = 310.8

= 310.8 e^{4}

Convert element to a decimal form

e^{4} = 54.59815 \dots

= 54.59815 \dots \cdot 310.8

Multiply the numbers:

310.8 \cdot 54.59815 \dots = 16969.10503 \dots

= 16969.10503 \dots

2^{- 1500}

e^{- 2.079}

e^{x} \cdot e^{8 x}

- 0.1 \cdot 1 0^{- 4}

- 2 e^{x} e^{- x}

What is 7e^9(1.2e^{-5})(37) ?
The solution to 7e^9(1.2e^{-5})(37) is 16969.10503…