SOLUTION: Please help me solve {{{ (a^(1/2) + a^(-2/3))/(a + a^(-1))}}}

Algebra.Com
Question 1184032: Please help me solve
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

























Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


The path to simplifying this expression shown by the other tutor is a perfectly sound mathematical process. It is the one that would very likely be used by a student who is first learning about fractional and negative exponents.

There is a different approach that gets you to the final answer shown by the other tutor in a single step.

Given "a+a^-1" in the denominator of the expression, multiply numerator and denominator of the expression by a to get rid of the negative exponent:






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