Simplifying expressions with exponents

The  exercise appears under the Algebra I Math Mission. This exercise implements and practices exponent rules including all integer exponents.

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


 * 1) Simplify the exponents: This problem has an exponential expression with several variables and operations on exponents. The student is asked to simplify the expression using the exponent rules and write it in a specified form.Sewe1.png

Strategies
Knowledge of the exponent rules are all that is needed to be successful on this exercise.
 * 1) The main exponent rules are 1) products with the same base result with addition in the exponent, 2) quotients with the same base result with subtraction in the exponent and 3) raising an exponent to a power results with a product of the exponents.
 * 2) Additional, it is important to note that exponentiation distributes through multiplication and division.
 * 3) An exponential in the denominator can be moved to the numerator if the exponent is multiplied by negative one.

Real-life Applications

 * 1) Exponential rules are common in many algebra problems, and proficiency with these rules increases ability in the calculus.