Final answer:
The expressions are (1 + x)^x and x^x, and solving the equation when x = 3 will get 64.
Step-by-step explanation:
To write an expression to show Darren's total savings for x years, we can use the formula:
Total Savings = 55 * x
When x = 3, we can evaluate the expression to find the total savings:
Total Savings = 55 * 3
= 165
The expression (1 + x)^x represents the power of (1 + x) raised to the power of x.
When x = 3, the expression evaluates to:
(1 + 3)^3 = 4^3
= 64
The expression x^x represents x raised to the power of x.
When x = 3, the expression evaluates to:
3^3 = 27