Write 6¹⁰ ÷ 6² as a single power of 6.

Question

Simplify fully 5x³y² * 3x⁴y³

Answer 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) = ...