MATH 9 PRINCIPLESSECTION 2.4 EXPONENT RULES(PART II)
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MULTIPLYING POWERS
What happens to the exponents when you multiply twopowers with the same base?
Each exponent indicates how many bases are in each power
The product of the powers will be the multiplication of allthe bases
To find the number of bases, just add the exponents
Note: The powers MUST have the SAME base
Both powers have a base of 5
There are 7 bases in total
Add the exponents
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PRACTICE: WRITE EACH PRODUCT AS A SINGLE POWER
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DIVIDING EXPONENTS
What happens when you divide two powers with thesame base?
Each base in the denominator will cancel out the basesin the numerator
Subtract the exponents in the bottom from the top
Q: What happens when there are more bases in thebottom?
Ans: You get negative exponents
Cancel out anyCommon Factors
in both numeratorand denominator
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PRACTICE: WRITE EACH QUOTIENT AS A SINGLE POWER
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POWERS TO ANOTHER EXPONENT
What happens when you take a power to anotherexponent?
The outer exponentindicates the number ofbrackets
The inner exponentindicates the number ofbases in each bracket
Multiply the exponentto count the number ofbases
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PRACTICE: REWRITE EACH EXPRESSION AS A SINGLE POWER
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SIMPLIFY EACH OF THE FOLLOWING:
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HOMEWORK
Pp77 #4,5 , 8, 9, 10, 11, 13, 18, 21
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