simplify and write variables to represent positive real numbers
1. (a^1/2 b)^1/2 over (ab^1/2)
so far i have used the "nth" root to multiply using the product rule, then i got 1/2 distributed to (a^1/2)
[SQRT(a) * (b)]^1/2 divided by a SQRT (b)
(a ^1/2)^1/2 = (a^1/4 * SQRT (b))/ a SQRT (b)
So (a^1/4 * SQRT (b)/ a SQRT (b)
SQRT (b) on numerator and denominator can be eliminated since they equal 1
= a^1/4 / a^1
When you have the same base but different power, subtract numerator from denominator:
a ^(1/4 - 4/4) = a^(-3/4)
a^-3/4 means to put a^3/4 over 1. Negative exponent means to drop it to a fraction so the final answer is:
Let me know if you have any questions on what I did or how I did it.
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