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Using exponent rules to evaluate expressions
Exponent rules 256
Description
Exercise Name: Using exponent rules to evaluate expressions
Math Missions: 8th grade (U.S.) Math MissionPre-algebra Math Mission, Mathematics I Math Mission, Algebra I Math Mission, Mathematics II Math Mission
Types of Problems: 2

The Using exponent rules to evaluate expressions exercise appears under the 8th grade (U.S.) Math MissionPre-algebra Math Mission, Mathematics I Math Mission, Algebra I Math Mission and Mathematics II 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 user is asked to find the simplified expression and type it in the provided box.
    Uertee1

    Simplify into single exponential

  2. Simplify into multiple exponentials: This problem provides an exponential expression involving the distributive properties. The user is asked to find the simplified expression and type it in the space provided.
    Uertee2

    Simplify into multiple exponentials

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.
  2. Knowledge of algebra is essential for higher math levels like trigonometry and calculus. Algebra also has countless applications in the real world.

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