1. WORKING WITH EXPONENTS RULES
POWER OF A POWER PROPERTY
Rule: (ab)c = a(b*c) Example: (x3)4 = x(3*4) = x12
POWER OF A PRODUCT PROPERTY
Rule: (a * b)c = ac * bc Example: (2b)3 = 23 * b3 = 8b3
PRODUCT OF POWERS PROPERTY
Rule: ab * ac = a(b+c) Example: a4 * a5 = a(4+5) = a9
POWER OF A QUOTIENT PROPERTY
Rule: (a/b)c = ac / bc Example: (2/3)3 = (23/33) = 8/27
QUOTIENT OF POWERS PROPERTY
Rule: ab / ac = a(b-c) Example: z5 / z3 = z(5-3) = z2
ZERO AS A POWER
Rule: a0 = 1 Example: 40 = 1
POWERS OF -1
Rule: Even powers of -1 = 1 Example: (-1)8 = 1
Rule: Odd Powers of -1 = -1 Example: (-1)13 = -1
NEGATIVE EXPONENTS
Rule: (a-b) = 1/(ab) Example: (5-2) = 1/(52) = 1/25