Indices, SM-Bank 088

Write \(\dfrac{7^5}{7^2}\) as a fraction in expanded form. (2 marks)

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Write your answer to (a) in simplified index form. (1 mark)

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a. \(\dfrac{7\times 7\times 7\times 7\times 7}{7\times 7}\)

b. \(7^3\)

Show Worked Solution

a. \(\dfrac{7^5}{7^2}=\dfrac{7\times 7\times 7\times 7\times 7}{7\times 7}\)

b. \(\dfrac{7\times 7\times 7\times 7\times 7}{7\times 7}=7^3\)