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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

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Exercise 20 Page 3

To multiply exponential numbers with the same base but different exponents, we add the exponents and keep the base the same.

20x^4y^2

To multiply exponential numbers with the same base but different exponents, we add the exponents and keep the base the same. a^m* a^n= a^(m+ n) Keeping this in mind, let's simplify the given expression.

5xy(4x^3y)

CommutativePropMult

Commutative Property of Multiplication

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

Multiply

20(x * x^3)(y * y)

a*a^m=a^(1+m)

20x^4(y * y)

ProdToPowTwoFac

a* a=a^2

20x^4y^2