Writing Expressions in the form $A^2$

Need some simpler practice with perfect squares first? Identifying Perfect Squares

For this lesson, you'll need these exponent laws:

$(xy)^m = x^m y^m$
$(x^m)^n = x^{mn}$

You'll be using them ‘backwards’— that is, from right-to-left. That is, you'll be starting with an expression of the form $\,x^my^m\,,$ and rewriting it in the form $\,(xy)^m\,.$ Or, you'll be starting with an expression of the form $\,x^{mn}\,,$ and rewriting it in the form $\,(x^m)^n\,.$

Here, you will practice writing expressions in the form $\,A^2\,.$ Only whole number coefficients and exponents are used in this exercise. (The whole numbers are: $\,0,\, 1,\, 2,\, 3,\, \ldots\,$)

Examples