| a) a^(2n-5) / a^(2n-3) * b^(-2) = a^(-2) * b^(-2) = (a * b)^(-2) = 1 / (a * b)² |
| |
| b) x^(5-m) / x^(3-m) * x^(2m-2) = x² * x^(2m-2) = x^(2m) |
| |
| c) y^(3n-5) / x^(n+3) * x^(2n+5) / y^(2n-4) = y^(n-1) * x^(n+2) |
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| d) 15y^(5+a) / 3y^(2-a) : 20y^(-2a) / 2y^(-4a-2) |
| = 15y^(5+a) / 3y^(2-a) * 2y^(-4a-2) / 20y^(-2a) |
| = 5y^(3+2a) * 1/10 * y^(-2a-2) |
| = 1/2 * y |
| |
| e) (2xy)^(2n+2) / x^(1-2m) : (2xy)^(2n) / 2x^(2-2m) |
| = (2xy)^(2n+2) / x^(1-2m) * 2x^(2-2m) / (2xy)^(2n) |
| = (2xy)² * 2x = 8x³y² |
| |
| f) (x^(3-a))^(3+a) / (x^(a))^(-a) * 1 / x^9 |
| = x^((3-a)(3+a)) / x^(a(-a)) * 1 / x^9 |
| = x^(9-a²) / x^(-a²) * 1 / x^9 |
| = x^9 * 1 / x^9 = 1 |
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