Question
Write 6¹⁰ ÷ 6² as a single power of 6.
Simplify fully 5x³y² * 3x⁴y³
Simplify fully 5x³y² * 3x⁴y³
Answers
Steve
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) = ...
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) = ...