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Applying the Properties of Exponents

Author: Anthony Varela

Formulas to Know

Power of a Power Property of Exponents: $open parentheses a to the power of n close parentheses to the power of m equals a to the power of n m end exponent$
Power of a Product Property of Exponents: $open parentheses a b close parentheses to the power of n equals a to the power of n times b to the power of n$
Power of a Quotient Property of Exponents: $open parentheses a over b close parentheses to the power of n equals a to the power of n over b to the power of n$
Product Property of Exponents: $a to the power of n times a to the power of m equals a to the power of n plus m end exponent$
Property of Negative Exponents: $a to the power of negative n end exponent equals 1 over a to the power of n$
Quotient Property of Exponents: $a to the power of n over a to the power of m equals a to the power of n minus m end exponent$