Question

Which expression is equivalent to 7sqrtx^2/5sqrty^3? Assume y does not equal 0

Answer 1

Option A)
`\bf{ x^{(2)/(7)}*y^{-(3)/(5)}}`

Explanation:

we have

`\sf{\frac{\sqrt[7]{x^(2)}}{\sqrt[5]{y^(3)}}}`

we know that

`\sf{\sqrt[7]{x^(2)}=x^{(2)/(7)}}`

`\sf{\sqrt[5]{y^(3)}=y^{(3)/(5)}}`

substitute in the expression

`\sf{\frac{x^{(2)/(7)}}{y^{(3)/(5)}}=x^{(2)/(7)}*y^{-(3)/(5)}}`