Question

What is the simplified form of 24 y to the fifth power over 15 x to the eighth power divided by 8 y squared over 4 x to the fourth power?

Answer 1

12 y cubed over 15 x to the sixth power

Answer 2

`(4y^3)/(5x^4)`

Explanation:

We are given,

The expression is
`((24y^5)/(15x^8))/((8y^2)/(4x^4))`.

Upon simplifying, we get,

`((24y^5)/(15x^8))/((8y^2)/(4x^4))\\\\\\(24y^5* 4x^4)/(15x^8* 8y^2)}\\\\\\(3y^3* 4)/(15x^4)}\\\\\\(4y^3)/(5x^4)}`

Thus, we have,

The simplified form of the given expression is
`(4y^3)/(5x^4)`.