I don't even know where to start with this problem... i'm supposed to simplify it but i don't get how, please help!

12e^x / e^4x

I would really appreciate the help, thank you!

I should just stop using this site... No one ever wants to help me anyways...

Use the law of exponents:

xa / xb
=xa-b

So,
12e^x/e^4x
=12e^((1-4)x)
=12e^(-3x)

Sorry about the delay! :)

To simplify the expression 12e^x / e^4x, you can use the rule of exponents that states when you divide exponential terms with the same base, you subtract the exponents.

In this case, the base is e, which is Euler's number (approximately 2.71828). Therefore, you can simplify the expression as follows:

12e^x / e^4x = 12 * (e^x / e^4x)

To divide exponential terms with the same base, subtract the exponents:

= 12 * e^(x - 4x)

Simplify the exponent:

= 12 * e^(-3x)

Therefore, the simplified expression is 12e^(-3x).

In general, when simplifying expressions with exponents, you need to look for common bases and simplify the exponents using the rules of exponents. In this case, recognizing that both terms have a base of e allows you to apply the rule of subtracting the exponents when dividing.