user953019766 user953019766
  • 16-12-2019
  • Mathematics
contestada

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

Respuesta :

rani01654 rani01654
  • 28-12-2019

Answer:

[tex]0.01a^{4} x^{2}[/tex] or  [tex]- 0.01a^{4} x^{2}[/tex]

Step-by-step explanation:

Let the monomial is M and M² is given by [tex]0.0001 a^{8} x^{4}[/tex].

Now, we have to find M.

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

Hence, [tex]M^{2} = [0.01a^{4}x^{2}]^{2}[/tex]

⇒ [tex]M = 0.01a^{4} x^{2}[/tex] or [tex]M = - 0.01a^{4} x^{2}[/tex].

Therefore, the required monomial is [tex]0.01a^{4} x^{2}[/tex] or  [tex]- 0.01a^{4} x^{2}[/tex]

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