Question

How do you simplify `(y^9)(2y^2)^3`?

Answer 1

`= 8y^ 15`

Explanation:

`(y^9)(2y^2)^3`

• As per property
  `color(blue)((ab)^m = a^mb^m`

`= y^9 * color(blue)(2 ^3 y^( (2 *3) )`

`= y^9 * 8 * y^ 6`

`= 8y^9 y^ 6`

• As per property:
  `color(blue)(a^m * a ^n = a ^(m+n)`

Applying the above to powers of `y`
`= 8y^ (9 +6)`

`= 8y^ 15`