Question

Given the expression 11 to the second power over 1,331. Part A: Explain how the Quotient of Powers was used to simplify the expression. Part B: Simplify the expression.

Answer 1

Here the expression is 11 to the second power over 1331 .

Which can be expressed as

`(11^2)/(1331)`

And 1331 is the cube of 11, that is

`(11^2)/(11^3)`

In case of division , we have to use quotient rule and subtract the powers, that is

`11^(2-3) = 11^(-1)`

Now we need to make the power positive and for that we have to flip the term. That is

`(1)/(11)`