Question

What is the monomial if a square of a monomial is: 0.0001 * a^8 * x^4

Answer 1

`0.01a^(4) x^(2)` or
`- 0.01a^(4) x^(2)`

Explanation:

Let the monomial is M and M² is given by
`0.0001 a^(8) x^(4)`.

Now, we have to find M.

We can rearrange the expression of M² as a square of the monomial.

Hence,
`M^(2) = [0.01a^(4)x^(2)]^(2)`

⇒
`M = 0.01a^(4) x^(2)` or
`M = - 0.01a^(4) x^(2)`.

Therefore, the required monomial is
`0.01a^(4) x^(2)` or
`- 0.01a^(4) x^(2)`

( Answer )