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

$\frac{11^2}{1331}$

And 1331 is the cube of 11, that is

$\frac{11^2}{11^3}$

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

$\frac{1}{11}$