Question

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

Answer 1

Answer:

$0.01a^{4} x^{2}$ or  $- 0.01a^{4} x^{2}$

Step-by-step 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  $- 0.01a^{4} x^{2}$

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