Question

Rewrite as a square of a monomial: 0.36x^6

Answer 1

(0.6x³)²

Explanation:

Given the indicinal expression 0.36x^6, to express as a square of a monomial means expressing the expressing as the square of a single function as shown.

`0.36x^(6) \\= (0.6*0.6)*(x^(3))^(2)\\= 0.6^(2)*(x^(3))^(2)\\`

According to one of the law of indices,
`a^(n) * b^(n) = (ab)^(n)`. Applying this to the resulting equation will give;

`(0.6*x^(3) )^(2)`

`= (0.6x^(3))^(2)`

This gives the required equation.