Final answer:
When x<1, the expression x² has the least value among the given options.
Step-by-step explanation:
To determine which expression has the least value when x<1, we can substitute different values of x into each expression and compare the results. Let's consider the options:
a) x²: When x<1, x² will always be positive, but it will be the smallest when x is closest to zero. So, x² has the least value among the options.
b) x³: When x<1, x³ will also be positive, but it will be larger than x² because x is being multiplied by a larger value (x).
c) x⁴: When x<1, x⁴ will be positive, but it will be even larger than x³ because x is being multiplied by a larger value (x) twice.
d) x⁵: When x<1, x⁵ will be positive, but it will be larger than x⁴ because x is being multiplied by a larger value (x) three times.
Therefore, the expression x² has the least value when x<1.