Question

List three different ways to write 5^11 as the product of two powers. Explain why all three of your expressions are equal to 5^11.

Answer 1

5$^{7}$ x 5$^{4}$ 
5$^{10}$ x 5$^{1}$ 
5³ x 5$^{8}$ 
They all work because their exponents all add up to 11. 
Hope this helps!