Question

How do you simplify `(16x^2)/y^4* (5x^2)/y^2`?

Answer 1

`=color(blue)(80 * x^(4)* y^(-6)`

Explanation:

`((16x^2)/y^4) * ((5x^2)/y^2)`

• By property `color(blue)(1/a = a^-1`
  Applying the above property to exponents of `y` in the denominator.

`=16x^2 y^-4* 5x^2 y^-2`

`=(16 * 5) * (x^2 * x^2) * ( y^-4* y^-2)`

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

Applying the same property to the exponents of `x` and `y` in the expression
`=80 * (x^(2+2)) * ( y^(-4 -2))`

`=color(blue)(80 * x^(4)* y^(-6)`