Question

Look at the picture and plzzz help and give me the right answer

Answer 1

Below is the sequence of steps which are required to follow in order to have the expression in its simplified form.

Step 1

`(875x^(5)y^(9))^{(1)/(3)}`

Step 2

`(125.7)^(1)/(3).x^{(3)/(5)}.y^{(9)/(3)}`

Step 3

`(125)^(1/3).(7)^(1/3).x(^{(3)/(3)+(2)/(3)}).y^(3)}`

Step 4

`(5^(3) )^{(1)/(3)}.7^(1)/(3).x^{(1+(2)/(3))}.y^(3)`

Step 5

`5^(1).7^(1)/(3).x^(1).x^(2)/(3).y^3`

Step 6

5xy³(
`7^{(1)/(3) }`
`x^{(2)/(3) }`)

Step 7

5xy³(
`7x^(2)`)
`(1)/(3)`

Step 8

5xy³
`\sqrt[3]{7x^(2)}`