Multiplying and Dividing Monomials.
1. Multiplication using the commutative and associative properties and power rules.
Example 1:
| a) (3x2y3)(-2x3y4)
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= 3·(-2 )·(x2·x3)·(y3·y4)
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Commutative and associative properties |
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= - 6x5y7 |
Multiply coefficients and add exponents |
| b) (-2xy2)3 (3x2y)2
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= [(-2)3(x)3(y2)3] · [(3)2(x2)2(y)2]
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Distribute exponent over product |
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= (-8 x3·y6)·(9x4·y2)
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Power of a power rule |
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= (-8·9)(x3·x4)·(y6· y2)
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Commutative and associative properties |
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= -72x7y8 |
Multiply coefficients and add exponents |
2. Division using the commutative and associative properties and power rules.
NOTE: Where there are several terms in the numerator and several terms in the denominator,
separate them into a product of fractions with “same lettersâ€
Example 2:
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Write as separate fractions.
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Divide coefficients and subtract exponents. |
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Write answer as single fraction. |
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Commutative and associative property |
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Write as separate fractions. |
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Simplify coefficients, subtract exponents, single fraction.
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