Practice problems for applying the laws of exponents to find a numerical answer. Students should use the rules to simplify before attempting to find the final answer. All answers are numerical and should be spelled out in the boxes. This puzzle is challenging and is not intended for 6th or 7th grade; for a less challenging puzzle please refer to Laws of Exponents Crossword Puzzle II.
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Below is a sample; I had to write the problems with some words because the system here will not allow exponents.
1) 3 to the 7th power divided by 3 to the 8th power, divided by 1/3 =
2) (-10) to the 11th power multiplied by (-10) to the power of -10 =
3) 2 to the power of (-1) multiplied by 2 to the 5th power =
4) -(1/(4 squared) ÷ 1/(4 cubed)) =
5) (-2) squared multiplied by (-2) cubed, divided by (-2) to the 4th power =
6) 10 squared plus 10 cubed, minus 1000 =
7) 5 to the 6th power multiplied by 5 to the power of -4, plus (-5) =