What is [e^{-(2*10^{-7})(48.85)}]^{17} ?

The solution to [e^{-(2*10^{-7})(48.85)}]^{17} is 0.99983…

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simplify [e^{-(2*10^{-7})(48.85)}]^{17}

simplify

[e^{- (2 \cdot 1 0^{- 7}) (48.85)}]^{17}

0.99983 \dots

Solution steps

[e^{- (2 \cdot 1 0^{- 7}) (48.85)}]^{17}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{(- 2 \cdot 1 0^{- 7} \cdot 48.85) \cdot 17}

(- 2 \cdot 1 0^{- 7} \cdot 48.85) \cdot 17 = - 0.00016609

= e^{- 0.00016609}

e^{- 0.00016609} = 0.99983 \dots

= 0.99983 \dots

((y + x y^{3}) d x + x d y = 0) x^{- 3} y^{3}

12.4 \cdot 1 0^{- 3}

(7 y)^{2}

What is [e^{-(2*10^{-7})(48.85)}]^{17} ?
The solution to [e^{-(2*10^{-7})(48.85)}]^{17} is 0.99983…