standard_description: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want (5^(1/3))^(3) = 5(^(1/3))^(3) to hold, so (5^(1/3))^(3) must equal 5.
problem_activity: Task
[IMG]
Find and label the numbers $-3$ and $-5$ on the number line.
For each of the following, state whether the inequality is true or false. Use the number line diagram to help explain your answers.
$-3 \gt -5$
$-5 \gt -3$
$-5 \lt -3$
$-3 \lt -5$


aligns: no