                           Laws of Exponents Product with same base     Quotient with same base Power to a power Product to a power   Zero power Quotient with negative power

 Description The Rule  in Symbolic form The Rule  in Words Example Product with same base When multiplying like bases, keep the base the same and add the exponents. TOP Quotient with same baseQuotient to a powerNegative powers Power to a power Product to a power Zero power Quotient with negative power Description The Rule   in Symbolic form The Rule  in Words Example Power to a Power When raising a base with a power to another  power, keep the base the same and multiply the exponents. TOP Quotient with same baseQuotient to a powerPower to a power Product to a power Zero power Quotient with negative power Description The Rule   in Symbolic form The Rule  in Words Example quotient with same base When dividing like bases, keep the base the same and subtract the denominator  exponent from the numerator exponent. TOP Quotient with same baseQuotient to a powerPower to a power Product to a power Zero power Quotient with negative power Description The Rule   in Symbolic form The Rule  in Words Example Product to a Power When raising a product to a power, distribute the power to each factor. TOP Quotient with same baseQuotient to a powerPower to a power Product to a power Zero power Quotient with negative power Description The Rule   in Symbolic form The Rule  in Words Example quotient to a Power When raising a fraction to a power, distribute the power to each factor in the numerator and denominator of the fraction. TOP Quotient with same baseQuotient to a powerPower to a power Product to a power Zero power Quotient with negative power Description The Rule   in Symbolic form The Rule  in Words Example zero power Anything raised to the zero power is one. TOP Quotient with same baseQuotient to a powerPower to a power Product to a power Zero power Quotient with negative power Description The Rule   in Symbolic form The Rule  in Words Example negative power Negative exponents signify division. In particular, find the reciprocal of the base. When a base is raised to a negative power, reciprocate (find the reciprocal of) the base, keep the exponent with the original base, and drop the negative. TOP Quotient with same baseQuotient to a powerPower to a power Product to a power Zero power Quotient with negative power Description The Rule   in Symbolic form The Rule  in Words Example quotient with negative power Negative exponents signify division. In particular, find the reciprocal of the base. When a denominator  is raised to a negative power, move the factor to the numerator, keep the exponent but drop the negative. TOP Quotient with same baseQuotient to a powerPower to a power Product to a power Zero power Quotient with negative power