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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

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Exercise 22 Page 3

Use the formula for area of a square and the rules for exponents.

36x^6 in^2

To find the area of a square given the length of a side, we need to apply the area formula.

A=s^2

s= 6x^3

A = ( 6x^3)^2

(a * b)^m=a^m* b^m

A = 6^2 * (x^3)^2

(a^m)^n=a^(m* n)

A = 6^2 * x^6

Calculate power

A = 36x^6

Therefore, the area of a square with side 6x^3 inches is 36x^6 square inches.