When performing exponentiation remember that it is

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Unformatted text preview: we have in regards to exponentiation and parenthesis. This will be particularly important when dealing with negative numbers. Consider the following two cases. ( -2 ) 4 -2 4 and These will have different values once we evaluate them. When performing exponentiation remember that it is only the quantity that is immediately to the left of the exponent that gets the power. In the first case there is a parenthesis immediately to the left so that means that everything in the parenthesis gets the power. So, in this case we get, ( -2 ) 4 = ( -2 )( -2 )( -2 )( -2 ) = 16 In the second case however, the 2 is immediately to the left of the exponent and so it is only the 2 that gets the power. The minus sign will stay out in front and will NOT get the power. In this case we have the following, -24 = - ( 24 ) = - ( 2 × 2 × 2 × 2 ) = - (16 ) = -16 We put in some extra parenthesis to help illustrate this case. In general they aren’t included and we would write instead, -24 = -2 × 2 × 2 × 2 = -16 Th...
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