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Popular >

simplify e^y*e^{2ln(y^2)}

Solution

simplify

e^{y} \cdot e^{2 l n (y^{2})}

Solution

e^{y} y^{4}

Solution steps

e^{y} e^{2 l n (y^{2})}

Apply exponent rule:

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

e^{y} e^{2 l n (y^{2})} = e^{y + 2 l n (y^{2})}

= e^{y + 2 l n (y^{2})}

2 ln (y^{2}) = 4 ln (y)

= e^{y + 4 l n (y)}

Apply exponent rule:

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

= e^{4 l n (y)} e^{y}

Simplify

e^{4 l n (y)} : y^{4}

= y^{4} e^{y}

= e^{y} y^{4}

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Frequently Asked Questions (FAQ)

What is e^y*e^{2ln(y^2)} ?
The solution to e^y*e^{2ln(y^2)} is e^yy^4