# High School Algebra

• Apr 26th 2007, 11:15 AM
cmanser
High School Algebra
I'd just like to check my work on the below problem, thanks in advance!

(-a)^3(-a^3)^6
----------------
(a^6)^9

I Hope I wrote that correct.

I got

- 1/a^33

or

-1
--
a^33

P.S.

Is the degree of this polynomial 4?

1-2x^4-2x^2
• Apr 26th 2007, 11:52 AM
Jhevon
Quote:

Originally Posted by cmanser
I'd just like to check my work on the below problem, thanks in advance!

(-a)^3(-a^3)^6
----------------
(a^6)^9

I Hope I wrote that correct.

I got

- 1/a^33

or

-1
--
a^33

you answer would not be negative. you have a negative times a negative in the top

EDIT: Actually, you (and CaptainBlack) are correct. the answer would be negative, since raisng a negative number to the 6th power makes it positive and then you are multiplying by a negative number (thanks CaptainBlack)

Quote:

P.S.

Is the degree of this polynomial 4?

1-2x^4-2x^2
yes, you are correct. the degree of a polynomial is the highest power that occurs for any term
• Apr 28th 2007, 11:17 PM
cmanser
• Apr 29th 2007, 12:14 AM
CaptainBlack
Quote:

Originally Posted by cmanser
I'd just like to check my work on the below problem, thanks in advance!

(-a)^3(-a^3)^6
----------------
(a^6)^9

I Hope I wrote that correct.

I got

- 1/a^33

or

-1
--
a^33

Correct

Quote:

P.S.

Is the degree of this polynomial 4?

1-2x^4-2x^2
Yes.

RonL
• Apr 29th 2007, 12:16 AM
CaptainBlack
Quote:

Originally Posted by Jhevon
you answer would not be negative. you have a negative times a negative in the top

Is that a yes or no?

The OP has:

(-a)^3(-a^3)^6
----------------
(a^6)^9

(-a)^3 is negative, (-a^3)^6 is positive so the whole thing is negative.

RonL