Question

write an expression that represents the area of a square with side length 6xy^2 (for any square with side length s, A=s^2=s.s.)

Answer 1

The answer is 36x²y⁴.

For any square with side length s:
A=s²

s = 6xy²
A = (6xy²)²

Since (ab)² = a²b², then:
A = 6²x²(y²)²
A = 36x²(y²)²

Since (aⁿ)ˣ = aⁿ*ˣ, then:
A = 36x²y²*²
A = 36x²y⁴