Final answer:
The expression that has a value greater than its base is option (3/2)⁴.
Step-by-step explanation:
The expression that has a value greater than its base is option d) (3/2)⁴.
To determine this, we need to simplify each expression by raising them to their respective powers.
a) (4/5)³ = (4/5) × (4/5) × (4/5) = 64/125
b) (2/3)⁴ = (2/3) × (2/3) × (2/3) × (2/3) = 16/81
c) (3/5)³ = (3/5) × (3/5) × (3/5) = 27/125
d) (3/2)⁴ = (3/2) × (3/2) × (3/2) × (3/2) = 81/16
By comparing the values, we can see that option d) has a value that is greater than its base.