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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Adding and Subtracting Polynomials

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Exercise 90 Page 13

Simplify power to a power expressions. Remember, to multiply exponential numbers with the same base but different exponents, we add the exponents and keep the base the same.

- 108m^(11)k^(12)

Practice makes perfect

At first, we will simplify power to a power expressions.

( 2m^4k^3 )^2 ( - 3mk^2 )^3

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

2^2 ( m^4 )^2 (k^3 )^2 ( - 3 )^3m^3 (k^2 )^3

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

4m^8k^6 ( - 27 )m^3k^6

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.

4m^8k^6 ( - 27 )m^3k^6

CommutativePropMult

Commutative Property of Multiplication

(- 27 * 4 )( m^8 * m^3 )( k^6 * k^6 )

Multiply

- 108( m^8 * m^3 )( k^6 * k^6 )

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

- 108m^(8+3)k^(6+6)

Add terms

- 108m^(11)k^(12)

Subchapter links

Exercises p.10-13