Answered

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Simplify this problem for me

Simplify This Problem For Me class=

Sagot :

elcharly64

Answer:

[tex]\displaystyle E=e^{5x}[/tex]

Step-by-step explanation:

Exponentials

Properties of exponentials:

[tex]x^ax^b=x^{a+b}[/tex]

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Simplify:

[tex]\displaystyle E=\frac{e^{-2}\cdot e^{2x+3}}{e^{1-3x}}[/tex]

Multiplying in the numerator:

[tex]\displaystyle E=\frac{e^{-2+2x+3}}{e^{1-3x}}=\frac{e^{+2x+1}}{e^{1-3x}}[/tex]

Applying the quotient:

[tex]\displaystyle E=e^{2x+1-(1-3x)}[/tex]

Operating:

[tex]\displaystyle E=e^{2x+1-1+3x}[/tex]

Simplifying:

[tex]\boxed{\displaystyle E=e^{5x}}[/tex]

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