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Working with Exponents Rules
1.   Power of a Power Property
                (ab)c = a(b*c)
                 Example: (x3)4 = x(3*4) = x12

2. Power of a Product Property
                (a * b)c = ac * bc
                 Example: (2b)3 = 23 * b3 = 8b3

3. Product of Powers Property
                ab * ac = a(b+c)
                 Example: a4 * a5 = a(4+5) = a9

4. Power of a Quotient Property
                (a/b)c = ac / bc
                 Example: (2/3)3 = (23/33) = 8/27

5. Quotient of Powers Property
                ab / ac = a(b-c)
                 Example: z5 / z3 = z(5-3) = z2

6. Zero as a Power
                a0 = 1
                 Example: 40 = 1

7. Powers of -1
                Even powers of -1 are equal to 1
                 Example: (-1)8 = 1
                Odd Powers of -1 are equal to -1
                 Example: (-1)13 = -1

8. Negative Exponents
                (a-b) = 1/(ab)
                 Example: (5-2) = 1/(52) = 1/25

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Working with exponents rules

  • 1. Working with Exponents Rules 1. Power of a Power Property  (ab)c = a(b*c) Example: (x3)4 = x(3*4) = x12 2. Power of a Product Property  (a * b)c = ac * bc Example: (2b)3 = 23 * b3 = 8b3 3. Product of Powers Property  ab * ac = a(b+c) Example: a4 * a5 = a(4+5) = a9 4. Power of a Quotient Property  (a/b)c = ac / bc Example: (2/3)3 = (23/33) = 8/27 5. Quotient of Powers Property  ab / ac = a(b-c) Example: z5 / z3 = z(5-3) = z2 6. Zero as a Power  a0 = 1 Example: 40 = 1 7. Powers of -1  Even powers of -1 are equal to 1 Example: (-1)8 = 1  Odd Powers of -1 are equal to -1 Example: (-1)13 = -1 8. Negative Exponents  (a-b) = 1/(ab) Example: (5-2) = 1/(52) = 1/25