Question

help!!! simplify do not use negative exponents in the answer 12a 5th power / 2a 8th power

Answer 1

\[12a ^{5}\2a ^{8}\] real problem

Answer 2

Just to be clear, is this what you mean?

\[\frac{12a^{5}}{2a^{8}}\]

Answer 3

yes

Answer 4

Okay, are you able to solve it *with* negative exponents?

Answer 5

I did not know how to make the line on here

Answer 6

\frac{top}{bottom}

Do that in the Equation editor, or within \[ and \ ]

Answer 7

nope it said do not use neg exponents and the 5 is -5 and the 8 is -8

Answer 8

I know, but once we get to the final answer *with* negative exponents, we can get rid of them by re-writing the answer.

Answer 9

Wait, are you saying it's to the power of -5 and -8?

Answer 10

Which is correct—top or bottom?

\[\frac{12a^{5}}{2a^{8}}\]

\[\frac{12a^{-5}}{2a^{-8}}\]

Answer 11

bottom

Answer 12

Okay, great. And there are no brackets, right? It's not \((12a)^{-5}\)?

Answer 13

So, to start, are you able to simplify the equation?

Answer 14

right

Answer 15

I could not find an exmaple in the book like mines so one of the problems in the exercise is like my real problem i need help to figure it out so i can solve mines

Answer 16

Do you know how to simplify exponents?

Answer 17

When dividing like bases (in this case, \(a\)), you subtract the bottom exponent from the top. So, \(a^{(-5)-(-8)}\).

Answer 18

As for your numeric constants, you just divide them (\(12 \div 2\))

Answer 19

ok so that will be -13

Answer 20

5-8

Answer 21

No, it's (-5) - (-8).

Answer 22

12/2 is 6 -5-(-8)=3

Answer 23

A double-negative is a positive (in math).

Answer 24

Good!

Answer 25

So what's your final answer?

Answer 26

6a\[6a ^3\]

Answer 27

Good!

Answer 28

do I do the samething if my problem has 12 x top and 8y bottom

Answer 29

Do you mean like: \(\Large{\frac{12x}{8y}}\) ?

No, those are different variables, so you cannot divide one by the other.

Answer 30

You can simplify the numbers \(\Large{\frac{12}{8} = \frac{3}{2}}\), but that's all.

Answer 31

yes with -6 at the top and -10 at the bottom

Answer 32

Ahh, so:
\[\frac{12x^{-6}}{8y^{-10}}\]
Nope, all you can simplify in this case is 12/8.

Answer 33

3x,2y

Answer 34

Yes, with the same exponents.

Answer 35

so there isn't any steps to break it down because my teacher keep saying show your work

Answer 36

If they're different variables, you can't simplify them further.

Answer 37

The only "work" you could show is dividing both the top and bottom by 4, to simplify your numeric fraction.

Answer 38

\[\Large\frac{12x^{-6}}{8y^{-10}} \small\frac{\div 4}{\div 4}\]

Answer 39

ok