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Popular >

simplify e^y[e^x]_{0}^{ln(y)}

Solution

simplify

e^{y} [e^{x}]_{0}^{l n (y)}

Solution

e^{y} y^{x}

Solution steps

e^{y} [e^{x}]_{0}^{l n (y)}

[e^{x}]_{0}^{l n (y)} : e^{x l n (y)}

= e^{y} e^{x l n (y)}

Apply exponent rule:

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

e^{y} e^{x l n (y)} = e^{y + x l n (y)}

= e^{y + x l n (y)}

Apply exponent rule:

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

= e^{x l n (y)} e^{y}

Simplify

e^{x l n (y)} : y^{x}

= y^{x} e^{y}

= e^{y} y^{x}

Popular Examples

simplify 18/980 (2.718^{-(10)/(980*1.5*10^{-5)}})simplify

\frac{18}{980} (2.71 8^{- \frac{10}{980 \cdot 1.5 \cdot 1 0 ^{- 5}}})

simplify 2.8454*10^{-3}(0.49)simplify

2.8454 \cdot 1 0^{- 3} (0.49)

simplify 8e^{-4x}simplify

8 e^{- 4 x}

simplify (2.5*10^{-11})*101.325 simplify

(2.5 \cdot 1 0^{- 11}) \cdot 101.325

simplify ae^{-2t}u(-t-b)simplify

a e^{- 2 t} u (- t - b)

Frequently Asked Questions (FAQ)

What is e^y[e^x]_{0}^{ln(y)} ?
The solution to e^y[e^x]_{0}^{ln(y)} is e^yy^x