Indices, SM-Bank 095

Simplify the following, giving your answers in index form.

\((2^4)^4\) (1 mark)

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\((4^3)^5\) (1 mark)

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\((3^3)^3\) (1 mark)

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Show Answers Only

a. \(2^{16}\)

b. \(4^{15}\)

b. \(3^9\)

Show Worked Solution

a. \((2^4)^4=2^{4\times 4}=2^{16}\)

b. \((4^3)^5=4^{3\times 5}=4^{15}\)

c. \((3^3)^3=3^{3\times 3}=3^9\)