Indices, SM-Bank 090

Simplify the following, giving your answers in index form.

\(\dfrac{2^{16}}{2^9}\) (1 mark)

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\(\dfrac{4^8}{4^3}\) (1 mark)

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\(\dfrac{10^{11}}{10^2}\) (1 mark)

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Show Answers Only

a. \(2^7\)

b. \(4^5\)

b. \(10^9\)

Show Worked Solution

a. \(\dfrac{2^{16}}{2^9}=2^{16-9}=2^7\)

b. \(\dfrac{4^8}{4^3}=4^{8-3}=4^5\)

c. \(\dfrac{10^{11}}{10^2}=10^{11-2}=10^9\)