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McGraw Hill Integrated II, 2012 View details

1. Adding and Subtracting Polynomials

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Exercise 87 Page 13

To multiply exponential numbers with the same base but different exponents, we add the exponents and keep the base the same using the Product of Powers Property.

- 40u^5z^9

Practice makes perfect

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

(- 8u^4z^5)(5uz^4)

CommutativePropMult

Commutative Property of Multiplication

(- 8 * 5)(u^4 * u)(z^5 * z^4)

Multiply

- 40(u^4 * u)(z^5 * z^4)

WritePow

Write as a power

- 40(u^4 * u^1)(z^5 * z^4)

MultPow

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

- 40u^(4+1)z^(5+4)