Question

Laws of indices please solve

Answer 1

here ,

`\sqrt[3]{x {}^(3) y {}^(3) }`

`= (x {}^(3) y {}^(3) ) {}^{ (1)/(3) }`

therefore the anwer is xy.

was it hellful plz let me know..

Answer 2

xy

Solution,

`\sqrt[3]{ {x}^(3) {y}^(3) } \\ = {x}^{ (3)/(3) } {y}^{ (3)/(3) } \\ = xy`

It is a root law of indices.

For example:

`\: if \: {a}^{ (m)/(n) }`

is an algebraic term, where m and n are the positive integers, then :

`{a}^{ (m)/(n) } = \sqrt[n]{ {a}^(m) }`

Hope this helps...

Good luck on your assignment...