simplify the following two math problems

Mathematics
Tutor: None Selected Time limit: 1 Day

1.   -5Y^-2Z =

2.  1/4X^-3 =

Jun 16th, 2015

Thank you for the opportunity to help you with your question!

First, we use this power law:  U^-n = 1/U^n  ; where n is the exponent or power of the base U.

So then we would have: 

1.)  -5Y^-2 Z = -5(1/Y^2)(Z) = (- 5Z)/(Y^2)

2.) 1/4X^-3 = (1/4)(1/X^3) = 1/(4X^3)

Please let me know if the second exercise is read like: 1/(4X^-3)  or  (1/4)X^-3.

I'm reading like 1/4X^-3 is 1/4 times X^-3  ---------> (1/4)X^-3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 16th, 2015

you read it correctly.  The only issue I have is that the answers are really not any less simple than the original math problems.

Jun 16th, 2015

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