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Write 6¹⁰ ÷ 6² as a single power of 6.

Simplify fully 5x³y² * 3x⁴y³

asked by Anonymous
  1. as always, remember that
    multiplication adds exponents
    division subtracts exponents

    6¹⁰ ÷ 6² = 6¹ ÷ 6² = 6^(1-2) = 6^(-1)
    But you might have meant
    6^10 ÷ 6^2 = 6^(10-2) = 6^8

    similarly,

    5x³y² * 3x⁴y³ = (5*3) x^(3+4) y^(2+3) = ...

    posted by Steve

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