Answer: [tex]1,\ 49x^2,\ 81x^6[/tex]
Step-by-step explanation:
The given monomials are [tex]1,\24,\ 66x,\ 49x^2,\ 100x^3,\ 81x^6[/tex]
1 is a perfect square .
24 is not a perfect square.
In 66x, 66 is not a perfect square.
In [tex]49x^2[/tex], 49 is a square of 7 and power of x is 2 , so it is a perfect square monomial.
[tex]49x^2=(7x)^2[/tex]
In [tex]100x^3[/tex], 100 is a square but power of x is 3 , so it is not a perfect square monomial.
In [tex]81x^6[/tex], 81 is a square of 9and power of x is 6 (multiple of 2) , so it is a perfect square monomial.
[tex]81x^6=(9x^3)^2[/tex]
