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UNIT
1 : ALGEBRA PREP
LESSON 8:
LAWS OF EXPONENTS HOMEWORK QUESTIONS PAGE 1
Review of Basic Exponent Laws:
|
Rule |
Example |
Explanation |
|
am x an = am+n |
32 x 35 = 37 |
Multiplication Rule - If the bases are the same, add the exponents |
|
|
|
Division Rule - If the bases are the same, subtract the exponents |
|
(am)n
= amn |
(32)3=36 |
Power Rule – When taking a power of a power, multiply the exponents |
|
(ab)m
= amam |
(3 x 2)4 = 34
x 24 |
Power of a Product – Take each factor in the product to that power |
|
|
|
Power of a Quotient – Take numerator and denominator to that power |
Zero
Exponents: Rule: a0 = 1 [Note that 00 is not defined]
Rational
Exponents:
Exponents Homework Questions:
1. Simplify. Express answers with positive exponents.
2. Simplify. Express answers with positive exponents.
3. Simplify. Express answers with positive exponents.
4.
Evaluate.
5. Evaluate.
6.
Evaluate
7. Simplify
using exponent rules.
8.
Simplify using exponent rules.
9. Simplify using exponent rules.
Solutions:
1. Simplify. Express answers with positive exponents.
Solutions:
2. Simplify. Express answers with positive exponents.
Solutions:
Alternate solution for (d):
3. Simplify. Express answers with positive exponents.
Solutions:
4.
Evaluate.
Solutions:
5. Evaluate.
Solutions:
