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.
If a nonzero number is raised to a zero exponent, the power is equal to 1.
Multiplication Properties of Exponents
Division Properties of Exponents