Question

Simplify the expression for the total number of tiles used. Show your work.

Answer 1

okai

Answer 2

\[\frac{ 175r^5 }{ 64r^{17} }\]

Answer 3

175 - 164, 5 - 17
or something

Answer 4

Well could you show me how to do it :)

Answer 5

Summer math skills unclear, D stuck in computer.

Answer 6

lol it's fine then, It's just I need to know how to do it, besides this is a learning community where we encourage the learning process and not giving answers :)

Answer 7

When dividing exponents, its top - bottom.As for the numbers 175 and 64, you could decompose them to make something divisible.

Answer 8

I don't think you can simplify 175/64

Answer 9

What about rationalizing?

Answer 10

Ex. 175 = 7(25) 64 = 8(8). Except you would have to try numbers that divide each other. You could use a greatest common divisor calculator to see what divisors are common, if any.

Answer 11

\(\bf \cfrac{ 175r^5 }{ 64r^{17} } \implies \cfrac{(5)(5)(7)r^5}{2^6r^5r^{12}}\)

Answer 12

OMG I FORGOT THE SQRT :O

Answer 13

Excuse my mind absence one second...

Answer 14

\(\bf \sqrt{\cfrac{ 175r^5 }{ 64r^{17} }} \ \ ?\)

Answer 15

\[\frac{ 175r^5 }{ \sqrt64r^{17} }\]

Answer 16

No just that^

Answer 17

\(\bf \cfrac{ 175r^5 }{ \sqrt{64}r^{17} } \implies \cfrac{(5)(5)(7)r^5}{\sqrt{2^6}r^5r^{12}}\)

Answer 18

Mkay following you so far

Answer 19

So now we can cancel some out rihgt?

Answer 20

I believe the two r^5s cancel out fo sho

Answer 21

all you can cancel is the r's

Answer 22

and yeah since 5 and 7 are primes, they have no divisors other than 1 so you can't cancel anything out in terms of numbers.

Answer 23

\(\bf \cfrac{(5)(5)(7)r^5}{\sqrt{2^6}r^5r^{12}} \implies \cfrac{(5)(5)(7)r^5}{\sqrt{(2^3)^2}r^5r^{12}} \implies \cfrac{(5)(5)(7)\cancel{r^5}}{8\cancel{r^5}r^{12}}\)

Answer 24

Oh ok I gotcha

Answer 25

So we can't get rid of the r's anymore at this point right?

Answer 26

yeah, that's all that's cancellable

Answer 27

175 and 8 have no common factors

Answer 28

So:
\[\frac{ (5)(5)(7) }{ 8r^{12} }\]
is our final answer?

Answer 29

well that would be 175 up there

Answer 30

yes

Answer 31

Hmm ok I see now, one question before I leave, how did you simplify the 2^6?

Answer 32

(2)(2)(2)(2)(2)(2)

Answer 33

\(\bf \sqrt{64} \implies \sqrt{2^6} \implies \sqrt{(2^3)^2} \implies (2^3)\implies 8\)

Answer 34

Ah ok I se now

Answer 35

^ What he said, didn't remember the sqrt

Answer 36

Well thank you bith I would give both a medal but I can't so one gets a fan and the other a medal xD btw hats off to you jdoe, you got some good LaTeX skillz

Answer 37

both* skills**

Answer 38

jdoe did it all, give him all the medals!

Answer 39

it helps to use a Latex editor =)

Answer 40

Yes but you helped :) and yes jdoe it does :D