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7. The expression
(2) (see below)
You may do some of these steps in a different order. You might combine several of them.
I'm breaking it down as much as I can so more people can follow along.
Here is my process:
Resolve the division by subtracting the exponents: 2 - (1/3) = 1 2/3 or 5/3.
Next resolve the exponents: to find a power or a power, multiply the exponents, so (5/3)(-1/2) = (-5/6)
A negative exponent indicates the reciprocal: m(-5/6) = (1 / m5/6)
A fractional exponent indicates the nth root: see illustration above.
8. What is the inverse of the function y = log 3 x?
(3) y = 3x
Logs are the inverse of exponential functions.
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