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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 91 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.

288x^8y^(10)z^6

Practice makes perfect

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

( 6xy^2 )^2( 2x^2y^2z^2 )^3

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

6^2x^2( y^2 )^22^3( x^2 )^3( y^2 )^3( z^2 )^3

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

6^2x^2y^42^3x^6y^6z^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.

6^2x^2y^42^3x^6y^6z^6

CommutativePropMult

Commutative Property of Multiplication

( 6^2 * 2^3 )( x^2 * x^6 )( y^4 * y^6 )z^6

Calculate power

( 36 * 8 )( x^2 * x^6 )( y^4 * y^6 )z^6

Multiply

288( x^2 * x^6 )( y^4 * y^6 )z^6

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

288x^(2+6)y^(4+6)z^6

Add terms

288x^8y^(10)z^6

Subchapter links

Exercises p.10-13