Indices, SM-Bank 082

Simplify the following, giving your answers in index form.

\(5^3\times 5^2\) (1 mark)

--- 1 WORK AREA LINES (style=lined) ---
\(7^7\times 7\) (1 mark)

--- 1 WORK AREA LINES (style=lined) ---
\(6^4\times 6^3\) (1 mark)

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

Show Answers Only

a. \(5^5\)

b. \(7^8\)

b. \(6^7\)

Show Worked Solution

a. \(5^3\times 5^2=5^{3+2}=5^5\)

b. \(7^7\times 7^1=7^{7+1}=7^8\)

c. \(6^4\times 6^3=6^{4+3}=6^7\)