Question

Rewrite the expression

as square of a monomial.

81x^6y^4

Answer 1

`(9x^3y^2)^2`

Explanation:

The expression, as a square of a monomial, will be given by:

`(√(81x^6y^4))^2`

Now, we calculate the root, applying it's properties. So

`√(81x^6y^4) = √(81) * √(x^6) * √(y^4) = 9 * x^{(6)/(2)} * y^{(4)/(2)} = 9x^3y^2`

The expression as a square of a monomial is given by

`(9x^3y^2)^2`