Question

simplify do not use negative exponents in the answer.

Answer 1

sure

Answer 2

\[12x ^^{-6}/8y ^{-10}\]

Answer 3

hold on i cant get it to go through

Answer 4

12xto the -6 /8y to the -10

Answer 5

\[\Large \frac{12x^{-6}}{8y^{-10}}\]Like this?

Answer 6

yes

Answer 7

If you simplify 12/8 what will you get?

Answer 8

1.5

Answer 9

In fractions?

Answer 10

6/4

Answer 11

Right. Now do you know about this rule?
\[\Large a^{-b} \to \frac{1}{a^b}\]

Answer 12

uh no lol

Answer 13

Lol. No problem. See that the exponent had a negative value. So what we did we fliped the fraction, making the exponent POSITIVE!
Agree?

Answer 14

agree

Answer 15

Cool. Now in your problem it was given x^-6. Now tell me how we are going to write it with positive exponent?

Answer 16

x what ever that sign is 6

Answer 17

No.
we'll write it as \[\Large x^{-6} \to \frac{1}{x^6}\]We FLIPPED the fraction. Agree?

Answer 18

ok

Answer 19

this is hard

Answer 20

Not that much.
In the last step we have:
1/y^-10
Now tell me how we're going to make the exponent positive?

Answer 21

flip it

Answer 22

YES!
\[\Large \frac{1}{y^{-10}} \to y^{10}\]

Answer 23

Finally we are left with: