Question

how can you write a experession as a single exponent?

Answer 1

Depends on the expression

Answer 2

okay \[3^{2} - 3^{3}\]

Answer 3

Ok, to do this you will need to factor a bit. Do you know how to factor?

Answer 4

yes

Answer 5

Ok, so we can rewrite this expression like this:

\[3^2 - 3^3 = 3^2 - (3^2*3)\]
Right?

Answer 6

yes

Answer 7

Now factor out a \(3^2\) from each term, and what do you get?

Answer 8

\[3^{5} \right\]

Answer 9

i mean \[3^{5}\]

Answer 10

No.
\[3^2 - 3^2(3) = 3^2(\frac{3^2}{3^2} -\frac{3^2( 3)}{3^2}) = 3^2(1-3)\]

Answer 11

Recall how to factor something

5(3) + 5(100) = 5(3+100) = 5(103)

Answer 12

17-17(23) = 17(1-23) = 17(-22)

Answer 13

Or if you prefer you can think of it the other way.

\[3^2 - 3(2^2) = 1(3^2) - 3(3^2) = -2(3^2)\]

Answer 14

Ack.. that should be

\[3^2 - 3(3^2)\]

before the first equals

Answer 15

Did I lose you?

Answer 16

yeah alot

Answer 17

Ok lets try this a different way. Forget what I said before. Ok

Answer 18

ok

Answer 19

\[3^2 - 3^3\]
\[= 1(3^2) - 3(3^2)\]

With me so far?

Answer 20

Do you see how these two things are equal?

Answer 21

yes

Answer 22

Ok, so now I tell you, you have 1x and you subtract 3x, what will you have?

Answer 23

-3 right?

Answer 24

-2x

Answer 25

ok i get it

Answer 26

So here, you have \(1(3^2)\) and you subtract \(3(3^2)\), what will you have?

Answer 27

-18

Answer 28

Well yes, but that's not an expression with 1 exponent.

Answer 29

Although you could write it as \(-18^1\) if you want to be a smart retrice;p

Answer 30

I think they want you to write it as \(-2(3^2)\)

Answer 31

ok

Answer 32

I could be wrong though.

Answer 33

how?

Answer 34

it should be 3^-1

Answer 35

Wait a minute, that is not correct

Answer 36

im confused now

Answer 37

It's -18 or \(-2(3^2)\). It's the same number, it just depends on how your teacher wants to see it.