standard_description: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
problem_activity: Problem 1
Consider the statement: A negative number raised to any whole number power will be negative.
Is this statement always, sometimes, or never true? Justify your response.
Problem 2
Consider the statement: An odd number raised to an odd power will be odd.
Is this statement always, sometimes, or never true? Justify your response.
Problem 3
What is the last digit of
$${7^{2023}}$$
? Explain.


aligns: no