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.)

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21-11-2016
Mathematics

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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.)

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JcAlmighty JcAlmighty · Answer 1 · 2016-11-23T18:43:26+01:00

JcAlmighty JcAlmighty

23-11-2016

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

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