P2: Properties of Exponents. WARM UP – Copy the table below into your notes. Expand each problem and then simplify. PRACTICE – identify which rule applies and simplify (don’t need to expand). Practicing with Negative Exponents. (. Ex #7. Put it all together and what to you got???.
More serious tutorial video you can watch at home if you get stuck:
b m · b n = b m+n
Ex #1The Product Rule
When multiplying exponential expressions with the same base, add the exponents.
When dividing exponential expressions with the same nonzero base, subtract the exponent in the denominator from the exponent in the numerator.
b0 = 1
Any nonzero base
raised to the power of “0” equals 1
Cross the line to change the sign of the exponent.
(bm)n = bm•n
When an exponential expression is raised to a power, multiply the exponents.
(abn) = anbn
When a product is raised to the power, raise each factor to that power.
When a quotient is raised to a power, raise the numerator to that power and divide by the denominator to that power.
Both the numerator and the denominator are raised to that power.
ZERO & NEGATIVE