1. Jun 29, 2004

### Krazie

How would I simplify this equation? (3a^3)^-3(9a^-1)^-2
When I put those carrots in that means the next number is an exponent. Is there any easier way to write exponents?

2. Jun 29, 2004

### Krazie

How would I simplify this one: (2a^-1)^-2(2a^-1)^4

3. Jun 29, 2004

### Krazie

Would the simplified expression of the second equation be 4/a ?

4. Jun 29, 2004

### Muzza

Carrot That's "caret", btw

Anyway, "distribute" some of the exponents. For example, $$(2a^{-1})^{-2} = 2^{-2} \cdot a^{(-1)(-2)} = \frac{1}{2^2} \cdot a^2 = a^2/4$$. Then do the same for the other paranthesis, multiply them together, etc.

The last one is almost 4/a, it's 4/a^2...

Last edited: Jun 29, 2004
5. Jun 29, 2004

### HallsofIvy

As far as "(2a^-1)-2(2a^-1)4" is concerned, there is a general formula: axay= ax+y.

(Edit: replaced x*y with x+y!)

Last edited by a moderator: Jun 30, 2004
6. Jun 29, 2004

### loseyourname

Staff Emeritus

Also, you can click on the expressions that Muzza typed out to see how he did it.

7. Jun 29, 2004

### hello3719

you mean axay= ax+y

8. Jun 29, 2004

### Krazie

ah nice hello. I thought that I was the only one that caught that. That would be sad. Thanks guys, this really helps, sorry if I bore you all with these simple problems, but i have to start somewhere.

9. Jun 30, 2004

### Zurtex

Do you perhaps mean (ax)y = ax*y?

10. Jun 30, 2004

### HallsofIvy

Yes, I just corrected it!