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GB-13-01-001 · Multiplying powers

Simplify x22×x11x^{22}\times x^{11}.

Index Laws: Algebraic Multiplication Booklet p. 1
Method
Use xᵃ × xᵇ = xᵃ⁺ᵇ: keep the base the same and add the powers
Worked Example (GB-13-01-001)
Booklet p. 1: xa×xb=xa+b\mathbf{x^a \times x^b = x^{a+b}}
x22×x11=x22+11=x33x^{22} \times x^{11} = x^{22 + 11} = \mathbf{x^{33}}
x33x^{33}