Write the following without negative exponents: (a^-1 + b^-1)^-1

2 answers

(a^-1 + b^-1)^-1
= (1/a + 1/b)^-1
=((b+a)/(ab))^-1
= (ab)/(a+b)
(1/a + 1/b)^-1 = 1 / (1/a + 1/b).