SOLUTION: Can you please help me with this problem... In this exercise, simplify the algebraic fraction. Write all the answers with positive exponents. (a+b^-2)^-1

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Can you please help me with this problem... In this exercise, simplify the algebraic fraction. Write all the answers with positive exponents. (a+b^-2)^-1      Log On


   

Question 545889: Can you please help me with this problem...
In this exercise, simplify the algebraic fraction. Write all the answers with positive exponents.
(a+b^-2)^-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2Bb%5E-2%29%5E-1
get rid of the ^-1 with the reciprocal
1%2F%28%28a%2Bb%5E-2%29%29
The reciprocal of b, then put it over a single denominator
1%2F%28a%2B%281%2Fb%5E2%29%29 = 1%2F%28%28ab%5E2%2B1%29%2Fb%5E2%29
invert the dividing fraction and multiply
1 * b%5E2%2F%28ab%5E2%2B1%29 or just b%5E2%2F%28ab%5E2%2B1%29