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Indices, SM-Bank 089

Simplify the following, giving your answers in index form.

  1. \(2^8 \ ÷\ 2^4\)  (1 mark)

  2. \(5^{15} \ ÷\ 5^9\)  (1 mark)

  3. \(3^4 \ ÷\ 3\)  (1 mark)

Show Answers Only

a.    \(2^4\)

b.    \(5^6\)

b.    \(3^3\)

Show Worked Solution

a.   \(2^8\ ÷\ 2^4=2^{8-4}=2^4\)

b.   \(5^{15}\ ÷\ 5^9=5^{15-9}=5^6\)

c.   \(3^4\ ÷\ 3^1=3^{4-1}=3^3\)