Questions: Given the exponential expression e^(3x+4y) Use the Laws of Exponents covered in Lesson 1.1 to split the exponential expression apart.

Transcript text: Given the exponential expression \[ e^{3 x+4 y} \] Use the Laws of Exponents covered in Lesson 1.1 to split the exponential expression apart.

Solution

Solution Steps

Step 1: Identify the Exponential Expression

The given exponential expression is:

\[ e^{3x+4y} \]

Step 2: Apply the Laws of Exponents

According to the laws of exponents, specifically the property that states \(a^{m+n} = a^m \cdot a^n\), we can split the exponential expression into a product of two separate exponentials:

\[ e^{3x+4y} = e^{3x} \cdot e^{4y} \]