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Indices, SM-Bank 015 MC

Which expression is equal to  \(6^3\times 36^2\)?

  1. \(6\times 3\times 36\times 2\)
  2. \(6\times 6\times 6\times 6\times 6\)
  3. \(6\times 6\times 6\times 36\times 6\)
  4. \(6\times 6\times 6\times 6\times 6\times 6\times 6\)
Show Answers Only

\(D\)

Show Worked Solution
\(6^3\times 36^2\) \(= (6\times 6\times 6)\times (6\times 6)^2\)
  \(= (6\times 6\times 6) \times (6\times 6)\times (6\times 6)\)
  \(=6\times 6\times 6\times 6\times 6\times 6\times 6\)

 
\(\Rightarrow D\)