Is it possible for two different numbers, when squared, to give the same result? what does this result tell you about solving an equation when the variable is squared? how many solutions will an equation like this have? will there always be the same number of solutions for any equation with a squared variable? explain.

Is it possible for two different numbers, when squared, to give the same result?

Yes, absolutely, think about -2 and 2.

What does this result tell you about solving an equation when the variable is squared?

That there might be more than one solution.

How many solutions will an equation like this have?

For each squared variable, there might be 2 possible solutions to the equation.  If there are 2 square variables, then there might be 4 possible solutions to the equation, and so on.

Will there always be the same number of solutions for any equation with a squared variable?

No, some solutions will not be valid solutions.  For example, if you have an equation regarding the number of apples harvested in a season, a solution of -2 cannot be valid, even if it satisfies the equation.  The -2 answer could be valid in other contexts however.

try soting them out first

step-by-step explanation:

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8