Using exponent rules to evaluate expressions

The  exercise appears under the 8th Grade Math Mission. This exercise practices the exponents rules that were developed in earlier missions.

Types of Problems
There are two types of problems in this exercise:


 * 1) Simplify into single exponential: This problem provides an exponential expression involving multiplication, division or powers. The student is asked to find the simplified expression and type it in the provided box.Uertee1.png
 * 2) Simplify into multiple exponentials: This problem provides an exponential expression involving the distributive properties. The student is asked to find the simplified expression and type it in the space provided.Uertee2.png

Strategies
The exponent rules are key to doing this problem efficiently and accurately.
 * 1) When multiplying with the same base, exponents add.
 * 2) When dividing with the same base, exponents subtract.
 * 3) When powering with exponents, exponents will multiply.
 * 4) The above rules can be viewed as "one step simpler in the order of operations."
 * 5) Exponents distribute through multiplication and division (but neither addition nor subtraction).

Real-life applications

 * 1) The exponent rules are important because complicated concepts (like rational expression and radicals) can be represented in the world of exponents.