Indices, SM-Bank 087

Write \(\dfrac{3^6}{3^4}\) as a fraction in expanded form. (2 marks)

--- 3 WORK AREA LINES (style=lined) ---
Write your answer to (a) in simplified index form. (1 mark)

--- 2 WORK AREA LINES (style=lined) ---

Show Answers Only

a. \(\dfrac{3\times 3\times 3\times 3\times 3\times 3}{3\times 3\times 3\times 3}\)

b. \(3^2\)

Show Worked Solution

a. \(\dfrac{3^6}{3^4}=\dfrac{3\times 3\times 3\times 3\times 3\times 3}{3\times 3\times 3\times 3}\)

b. \(\dfrac{3\times 3\times 3\times 3\times 3\times 3}{3\times 3\times 3\times 3}=3^2\)