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**Unformatted text preview: **Rules for Integer Exponents Integer exponents are actually a shorthand way to represent the process of multiplication. For example, when we raise the number 5 to the third power, 3 5 , this really means 5 5 5 ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ (which equals 125 ). In this expression, the number 5 is called the base, and the number 3 is called the exponent (or power). Special care must be taken when negative signs are present to properly apply the order of operations. PEMDAS is an acronym that may help you remember the correct order. The P represents parentheses (grouping symbols), E represents exponents, M and D represent multiplication and division (which are of equal order), and A and S represent addition and subtraction (also of equal order). 4 4 2 (2)(2)(2)(2) 16 ( 2) ( 2)( 2)( 2)( 2) 16- = - = -- = - = -- = - = -- = - = -- = ---- =- = ---- =- = ---- =- = ---- = If the above exponent was a 3 instead of a 4 , the results would be the same in each case....

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