simplify:
e^3lnx+4lny
I am assuming you meant
e3lnx + 4lny
eln(x3) + 4lny
x3 + 4lny
To simplify the expression e^(3lnx + 4lny), we can use the properties of logarithms and exponential functions.
Step 1: Rewrite the expression using the properties of logarithms
e^(3lnx + 4lny) = e^(ln(x^3) + ln(y^4))
Step 2: Combine the logarithms using the product rule
e^(ln(x^3) + ln(y^4)) = e^(ln(x^3 * y^4))
Step 3: Simplify the exponent using the property of exponential functions
e^(ln(x^3 * y^4)) = x^3 * y^4
Therefore, the simplified expression is x^3 * y^4.