Exponent Rule: 
Symbolism: 
In plain English ... 
Zero Exponent 
x^{0} = 1 
All numbers (not zero) raised to the zero power equal one. 
Negative Exponent 

A negative exponent tells you that the factor is on the wrong side of the fraction bar. ( x is not zero). 
Product Rule 

When multiplying, and the bases are the same, ADD the exponents. 
Quotient Rule 

When dividing, and the bases are the same, SUBTRACT the exponents. (top exponent subtract bottom exponent) 
Power to a Power 

When raising a power to a power, MULTIPLY the exponents. 
Product to a Power 

When raising a product to a power, EACH factor gets raised to the new power. 
Quotient to a Power 

When raising a quotient to a power, BOTH top and bottom get raised to the new power.
