Rules of Exponents Numerical Base

A property that states to divide powers with the same base, subtract their exponents.

• Quotient of Powers Property

• Product of Powers Property

• Exponent of Powers Property

• Division of Powers Property

The result of repeated division used to represent very small numbers.

• Negative Exponent

• Decimal

• Fraction

• Prime Number

A property that states to multiply powers with the same base, add their exponents.

Also called the Product Rule.

• Product of Powers Property

• Power of a Power Property

• Exponent Rule

• Power Rule

A property that states to find the power of a product, find the power of each factor and multiply.

• Power of a Product Property

• Power of a Sum Property

• Power of a Difference Property

• Power of a Quotient Property

A rule that states that any nonzero number to the zero power is equivalent to 1.

• Zero Exponent Rule

• Multiplication Rule

• Division Rule

• Power of 1 Rule

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

According to exponent rules, when we divide powers that have the same base we _______ the exponents.

• add

• subtract

• multiply

• divide

According to exponent rules, when we multiply powers that have the same base we _______ the exponents.

• add

• subtract

• multiply

• divide

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide