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Exponents, Parentheses, and the Order of Operations.

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Exponents, Parentheses, and the Order of Operations

 … used to show repeated multiplication  2 x 2 x 2 = 2 3 “2 to the third power”  Special case: Any number to the zero power is one: N 0 = 1  When the base is negative, consider if the negative is INCLUDED in parentheses or not…

1) 7 3 2) -7 2 3) (-7) 2 4) 4 1 5) 3 2 (4) 3 6) 250 0 7) (-1) 45 8) (-1) 208

 P – Do any operations in parentheses first.  E – Evaluate any exponents next.  MD – Multiply or Divide in order from left to right.  AS – Add or Subtract in order from left to right.

1)6 – 6 + 8 2) -32 – 5(7 – 10) 2 3) [4 + {(6 – 3) 2 ÷ 3} 2 ] 2 4) 1 - 1 · 3 + 3 8 4 2 5

5) [5 – (3 – 7) – 2] 2 2[(16 ÷ 2 2 ) – (8 ·4)] 6) -2 + 4[-3 + (48 ÷ 4 2 ) 7) (-3) 3 + 8 ÷ 2(-7)

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