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Intermediate Algebra EXPONENTS

Exponent Laws

x⁵“x” is the base; “5” is the exponent

Rule 1(Product Rule) :

Rule 2 (Quotient Rule) :

Rule 3 (Power Rule) :

Careful:

2³ + 2⁴ ≠ 2⁷ b/c not a product!
8 + 16 = 24 ≠ 128

Rule 4 (Product - Power Rule) :

Rule 5 (Quotient - Power Rule) :

Rule 6 (Zero Exponent Rule) :

Rule 7 (Basic Negative Exponent Rule) :

Rules 8-11 (Other Negative Exponents Rules) :

Rule 8 :

Rule 9 :

Rule 10 :

Rule 11 :

Combinations: