*The following problems were taken from the*

**ALGEBRA II (Common Core)**Regents Exam given on Friday, January 27, 2017.Previous problems can be found here

### Part 1

**7. The expression **

*is equivalent to*(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 / m

^{5/6})

A fractional exponent indicates the

*n*th root: see illustration above.

**8. What is the inverse of the function y = log _{3} x?
**

(3) *y = 3 ^{x}*

Logs are the inverse of exponential functions.

Continue to the next problems

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