Question

Which expression is equivalent to 5^ square root 32x5^ y10^ z15^

Answer 1

Option B is correct.

Explanation:

`\sqrt[5]{32x^5y^10z^15}`

We need to solve the above expression.

32 = 2x2x2x2x2 = 2^5

and we know 5√ = 1/5

solving

`=\sqrt[5]{2^5x^5y^(10)z^(15)}\\=(2^5)^(1/5)(5x^5)^(1/5)(y^(10))^(1/5)(z^(15))^(1/5)\\=2xy^2z^3`

So, simplified form is 2xy^2z^3

So, Option B is correct.