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Algebra
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Write the expression without using negative exponents and simplify (y^-1) / (x^-1+y^-1)
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we have : 1/y/1/x+1/y OK?
\[x^{-1} = \frac{1}{x}\]
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.
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:)
if you raise any x to the -n power, it's the same as raising that x to the (1/n) power.
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Correction: Multiply the expression by xy/xy which is equal to 1 except when x or y is zero.
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