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Indices, SM-Bank 083

Simplify the following, giving your answers in index form.

  1. \(2^5\times 2^4\times 2\)  (1 mark)

  2. \(4^3\times 4^2\times 4^6\)  (1 mark)

  3. \(3^2\times 3\times 3^3\)  (1 mark)

Show Answers Only

a.    \(2^{10}\)

b.    \(4^{11}\)

b.    \(3^6\)

Show Worked Solution

a.   \(2^5\times 2^4\times 2=2^{5+4+1}=2^{10}\)

b.   \(4^3\times 4^2\times 4^6=4^{3+2+6}=4^{11}\)

c.   \(3^2\times 3^1\times 3^3=3^{2+1+3}=3^6\)