Write the expression without using negative exponents and simplify
(y^-1) / (x^-1+y^-1)

Question

Write the expression without using negative exponents and simplify
(y^-1) /  (x^-1+y^-1)

anonymous · Answer

we have :
1/y/1/x+1/y
OK?

anonymous · Answer

$$x^{-1} = \frac{1}{x}$$

anonymous · Answer

Multiply the expression by xy and you will get: x/(y+x) this will be equivalent to the expression above except when x=0 or y=0.

anonymous · Answer

The expression is written down in this way, we have already assumed that either x or y cannot be zero. Otherwise this expression is an invalid expression in the beginning, we cannot proceed anymore:)

anonymous · Answer

if you raise any x to the -n power, it's the same as raising that x to the (1/n) power.

anonymous · Answer

Correction: Multiply the expression by xy/xy which is equal to 1 except when x or y is zero.