Simplfy expression: e^x times 6e^3x-1

[FMMurphy]

When I need to simplfy an expression such as

e^x times 6e^3x-1

do I multiply such as 6e^4x-1?

 

[stapel]

To multiply through, you need to take the e^x onto every term in the other expression:

. . . . .e^x (6e^3x - 1)

. . . . .e^x(6e^3x) + e^x(-1)

. . . . .6e^xe^3x - 1e^x

...and so forth.

Eliz.

 

[FMMurphy]

I sort of see what you're talking about. I hate to sound stupid but I didn't understand what sup was! Would the answer then be 5e^xe^3x. Is the -1e^x a negative in the exponent also?

 

[stapel]

I didn't understand what sup was!

The HTML tag "sup" means "superscript", as in an exponent.

Would the answer then be 5e^xe^3x.

As mentioned previously, with two terms in the one factor (namely, 6e^3x and 1), the final product must also have two terms.

Is the -1e^x a negative in the exponent also?

I'm sorry, but I'm not sure what you mean by this, since this second term is not an exponent on the first term...?

Eliz.

 

[Denis]

When I need to simplfy an expression such as
e^x times 6e^3x-1

Did you mean e^x times 6e^(3x-1) ?
If so, VERY IMPORTANT to bracket properly :shock: