# Chapter 7.2:

Properties of Powers

### SKILLS TO ACQUIRE:

Simplify Expressions with Exponents

Evaluate Power Equations

**Parts of a Power:**

**Base**-> **X**^**n** <-**Exponent**

**Properties of Powers Chart**

**Product of Powers**

If two powers share a common base, the exponents are added together.

**Power of a Power**

If a number is raised to an exponent, the two exponents are multiplied together.

**Power of a Product**

If there are two values within the parenthesis, the exponent must be distributed to both values.

**Quotient of Powers**

If two powers are divided and share the same base, the exponents must be subtracted.

The exponent in the denominator is subtracted from the exponent in the numerator.

**Power of a Quotient**

If a fraction within parenthesis is raised to an exponent, the exponent is distributed to both the numerator and the denominator.

**Zero Exponent**

If a nonzero number is raised to a zero exponent, the power is equal to 1.

**Online Quizzes:**

Multiplication Properties of Exponents

http://my.hrw.com/math06_07/nsmedia/practice_quizzes/alg1/alg1_pq_exp_03.html

Division Properties of Exponents

http://my.hrw.com/math06_07/nsmedia/practice_quizzes/alg1/alg1_pq_exp_04.html