Question

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Answer 1

ok

Answer 2

can you use parenthesis, or the fraction notation with the equation tool

Answer 3

\[\frac{ 18*s*t^4 }{ 52*s^3*t }*\frac{ 16s^3 }{ 9s^2t }\]

Answer 4

im guessing, is that it?

Answer 5

use parenthesis , for each numerator and denominator, or the equation tool please

Answer 6

k, thanks, it is just a mess without brackets or that tool

Answer 7

\[\frac{ a }{ b }\frac{ c }{ d } = \frac{ a*c }{ b*d }\]

you can combine into one fraction

Answer 8

\[\frac{ 18 *16 *s^4 * t^4}{ 52 * 9 * s^5 * t^2 }\]

Answer 9

Recall, multiplying a common base raised to a power, is power addition

\[a ^{x} * a ^{y} = a ^{x + y}\]

Answer 10

good on that step?

Answer 11

Well it is easier if you leave the numbers all separated like that , so you can reduce them into lowest terms

Answer 12

For example, \[\frac{ 18 }{ 9 } = \frac{ 2 }{ 1 }\]

so cross out the 18/9 and replace with 2/1

Answer 13

\[\frac{ 2*16* s^4 * t^4 }{ 52 * 1 * s^5 * t^2 }\]

Answer 14

now do the same for the 16 and the 52,, what is a common divisor into those 2

Answer 15

\[\frac{ 2 * 4 *s^4 * t^4 }{ 13 * 1 * s^5 * t^2 }\]

Answer 16

divided the 16 and the 52 by 4, soo that?

Answer 17

yes, so the numbers are reduced to lowest terms, now to take care of the s and t values

Answer 18

You can multiply the numbers, but you cant multiply the s and the t, they are different bases

Answer 19

\[\frac{ 8 * s^4 * t^4 }{ 13 * s^5 * t^2 }\]

Answer 20

that is what you have so far now

Answer 21

Right, if you move a variable raised to a power to the other side of a fraction, you make the power the negative of what it is: For example:
\[\frac{ 1 }{ t^2 } = \frac{ t ^{-2} }{ 1 }\]

Answer 22

and when you multiply the same base raised to two powers, you add the powers, for example: \[t^4 * t ^{-2} = t ^{4+(-2)}\]

Answer 23

so to take care of the t variable, we have:
\[\frac{ 8 * s^4 * t ^{4+(-2)} }{ 13 * s^5 }\]

Answer 24

see that ?

Answer 25

yes, but you do not want to have your final answer with negative exponents, so what would you do with the s variable?

Answer 26

If you moved the s^5 to the top, you would have s^(4-5) = s^(-1), which is a negative exponent, so instead, move the s^4 to the bottom by changing its sign on the exponent to -4 and adding that to s^5

Answer 27

\[\frac{ 8 * t^2 }{ 13 * s ^{5+(-4)} }\]

Answer 28

So what is the final answer?

Answer 29

correct!, you understand the rules?

Answer 30

no prob, it just takes practice, and you will be doing these probs. no problem, just have to know the 2 or 3 rules for exponents