What is e^{-5x}(9e^{5x}) ?

The solution to e^{-5x}(9e^{5x}) is 9

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simplify e^{-5x}(9e^{5x})

simplify

e^{- 5 x} (9 e^{5 x})

9

Solution steps

e^{- 5 x} (9 e^{5 x})

Apply exponent rule:

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

e^{- 5 x} e^{5 x} = e^{- 5 x + 5 x}

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

Add similar elements:

- 5 x + 5 x = 0

= 9 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 9 \cdot 1

Multiply the numbers:

9 \cdot 1 = 9

= 9

8.43 \cdot 1 0^{- 5}

e^{- 6 \cdot 2}

(4.86 \cdot 1 0^{- 18}) \cdot 1000

7.379 \cdot 1 0^{- 4} \cdot 1930

((0.3)^{9} (0.7)) (0.7)