Write 100x^8 as the square of a monomial.

We want to rewrite 100*x^8 as the square of a monomial, we will find that the monomial is:

10*x^4

A monomial is a polynomial of a single term, so we want to write 100*x^8 as the square of something like:

A*x^n

Then we have:

Then we must hae:

A^2 = 100

A = √100 = 10

And:

2*n = 8

n = 8/2 = 4

Then the monomial is:

10*x^4

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