Intermediate Algebra

[jennjenn1981]

I have a problem I need help with. I need to know how to break the probelm down step by step in order to solve. I dont know where to begin or finish. Any help would be appreciated. Here is the problem.

-5y^4(y^5)^2 / 15y^7(y^2)^3.

 

[Deleted member 4993]

I have a problem I need help with. I need to know how to break the probelm down step by step in order to solve. I dont know where to begin or finish. Any help would be appreciated. Here is the problem.

-5y^4(y^5)^2 / 15y^7(y^2)^3.

Apply laws of exponent:

\(\displaystyle (a^b)^m\ = \ a^{bm}\)

\(\displaystyle a^{-m} \ = \ \frac{1}{a^m}\)

\(\displaystyle a^m * a^n \ = \ a^{m + n}\)

so for example

\(\displaystyle (y^5)^2 \ = \ y^{10}\)

 

[jennjenn1981]

Ok I multiplied the (y^5)^2 and the (y^2)^3. So what is the next step and what do I do with the -5 and 15?

 

[jennjenn1981]

I have a problem I need help solving here is what I have one so far.
Porblem:
(4/3)^-2

1/(4/3)^2

4 x 4=16
3 x 3=9

=9/16

Did i complete this right I feel like I am missing something.

 

[Denis]

I have a problem I need help solving here is what I have one so far.
Porblem:
(4/3)^-2
1/(4/3)^2
4 x 4=16
3 x 3=9
=9/16
Did i complete this right I feel like I am missing something.

Please start a NEW thread for a NEW problem.
9/16 is correct.
Btw, easy to check if correct: calculate both (4/3)^-2 and 9/16 ; each = .5625