Section 2.2 Zero and Negative Exponents

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Section 2.2 Zero and Negative Exponents © Copyright all rights reserved to Homework depot: www.BCMath.ca

I) Review: Powers of 2

II) Zero Exponents When a number has an exponent of zero, the value will be equal to one Even zero to the power of zero is also equal to one We need to be careful with negative bases. Can you see the difference between the three expressions? The last two are the same, we take the base to the exponent of zero first. Then we multiply one by the negative sign © Copyright all rights reserved to Homework depot: www.BCMath.ca

If a power has an exponent of zero, it doesn’t matter what the base is If a power has an exponent of zero, it doesn’t matter what the base is. The value will be equal to one When simplifying an expression, we need obey the order of operation: BEDMAS Simplify all “Brackets” first Then we take it to the exponent. If the exponent is zero, then the value now will be equal to one Next we multiply or divide (from left to right) Then add or subtract (from left to right) © Copyright all rights reserved to Homework depot: www.BCMath.ca

III) Basic Principles of Exponent Laws Multiply ‘a’ by itself ‘n’ number of times Anything to the power of zero is equal to 1. Take the reciprocal of the base and change the sign of the exponent

IV) Additional Exponent Laws

Ex: Simplify the Following:

Ex: Simplify