Fractional exponents 2

The  exercise appears under the Algebra I Math Mission. This exercise practices an ability to apply general rational exponents to numbers.

Types of Problems
There is one type of problem in this exercise:


 * 1) Evaluate the exponential expression: This problem has a numerical expression involving a rational exponent. The student is asked to find the value of the expression and write it in the space provided.Fe2-1.png

Strategies
Knowledge of the exponent rules, including negative and fraction values, is sufficient to perform the exercise accurately and efficiently.
 * 1) Negative exponents mean to reciprocate, and a fraction like 1/n means to find the nth root.
 * 2) In this exercise all three skills (radical, power, and reciprocal) are often needed to perform the problem.
 * 3) Recommended process: First take the appropriate radical, then raise to the power, then find the reciprocal if required.
 * 4) Memorization of powers through the third or fourth degree can increase efficiency on this exercise dramatically.

Real-life Applications

 * 1) An ability to work well with exponents of all types is an advantage in calculus where derivatives can be made simpler via the "power rule."