Question

a long board 4.7 thick is cut into three pieces of equal length these three pieces are then stacked the stack is cut in three equal pieces to form nine pieces use a power to express the number of pieces in a stack after three cuts

Answer 1

The number of pieces per stack after 3 cuts represented by a power expression can be written as $3^{3}$

• The number of equal pieces per cut = 3

• The number of cuts made = 3

Using a power expression :

• The number of of equal pieces per cut is raised to a power which represents the number of cuts made

• Thus we have $number\: of \:equal\: pieces^{number\: of \:cuts}$

• After 1 cut ; $3^{1} = 3$
• After 2 cuts ; $3^{2} = 3\times3 = 9$
• After 3 cuts ; $3^{3} = 3\times3\times3 = 27$

Therefore, the Number of pieces present in stack after 3 cuts is $3^{3}$

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