Indices, SM-Bank 096

Simplify the following, giving your answers in index form.

\((5^2)^2\) (1 mark)

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\((6^3)^4\) (1 mark)

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\((7^4)^5\) (1 mark)

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Show Answers Only

a. \(5^4\)

b. \(6^{12}\)

b. \(7^{20}\)

Show Worked Solution

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

b. \((6^3)^4=6^{3\times 4}=6^{12}\)

c. \((7^4)^5=7^{4\times 5}=7^{20}\)