could someone help me with math?

Question

Simplify. Enter you answer with positive exponents only.

(64b⁶r⁵)(24b⁹r⁸)

–––––––––––––

(32b¹¹r⁵)(2b¹⁰r³)

 

this is a fraction btw 

Answer 1

For this problem separate you numbers from you variables.

64 * 24

---------

32 * 2

(You can multiply then reduce or you can reduce then multiply.)

 

b⁶ * b⁹ * r⁵ * r⁸

-----------------

b¹¹ * b¹⁰ * r⁵ * r³

 

Add the exponents of like variables.

 

b¹⁵ * r¹³

----------

b²¹ * r⁸

 

Now reduce.

 

r⁵

----

b⁶

 

Then multiply back in your answer from the numbers.

Answer 2

If you separate them out into like terms, you get (64*24)/(32*2) = 24, (b^15)/(b^21) = 1/(b^6), and (r^13)/(r^8) = r^5.
The resulting answer should be 24*(r^5)/(b^6).

Let me know if you need further help.