SOLUTION: 6^-2y^3z^-2/-2x^4y please simplify and write the answer without negative exponents

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 6^-2y^3z^-2/-2x^4y please simplify and write the answer without negative exponents      Log On


   

Question 9224: 6^-2y^3z^-2/-2x^4y
please simplify and write the answer without negative exponents
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!
6%5E-2y%5E3z%5E-2%2F-2x%5E4y
If a negative exponent is there, it can be converted into a positive one by
bringing the base as denominator and the negative exponent as positive. For
example, x%5E-4 can be written as 1%2Fx%5E4. In the same way, the nos.
having negative index should be first converted as positive indices.
So 6%5E-2y%5E3z%5E-2%2F-2x%5E4y

= 1%2F6%5E2*y%5E3%2F1*1%2Fz%5E2/-2x%5E4y
= 1%2F6%5E2*y%5E3%2F1*1%2Fz%5E2*1%2F-2x%5E4y

= y%5E3%2F36z%5E2*1%2F-2x%5E4y
= y%5E2%2F-72x%5E4z%5E2 Answer.
I hope this is clear to you.

gsm