뒤로Integer Exponents and Scientific Notation
스터디 가이드 - 스마트 노트
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Integer Exponents and Scientific Notation
Negative Integer Exponents
Negative exponents represent the reciprocal of the base raised to the corresponding positive exponent.
Definition: For any nonzero real number a and positive integer n,
Example:
Review: Multiplying and Dividing Powers
When multiplying or dividing expressions with the same base, use the properties of exponents to simplify.
Multiplication:
Division: , where
Power of a Power:
Example:
Evaluate
Rules for Exponents (Product and Power)
These rules help simplify expressions involving exponents:
Product Rule:
Quotient Rule: ,
Power Rule:
Example: Evaluate
Step 1: Apply the negative exponent:
Step 2: Apply the power to numerator and denominator:
Step 3: Simplify exponents:
Step 4: Calculate values:
