Question

1. x^6y^14 / x^4Y^9

2. 4^5 * 5^3 * 6^2 / 4^4 * 5^2 * 6

3. (-2)^5 * (-3)^4 * (-5)^3 / (-2)^3 * (-3) * (-5)^2

Answer 1

Please, post only one or two problems at a time, and include the instructions.

Focusing on the first problem (above): Instructions are "simplify:"

x^6y^14 x^2*y^5
x^6y^14 / x^4Y^9 = ------------- = ------------- = x^2*y^5.
x^4Y^9 1

Note that (x^6) / (x^4) = x^(6-4) = x^2. Apply the same principle to y^14 / y^9.