Final answer:
The expressions that equal 16/81 are (Two-thirds) Superscript 4 and (StartFraction 4 Over 9 EndFraction) squared.
Step-by-step explanation:
To determine which expressions equal 16/81, we evaluate each given expression:
- (Two-thirds) Superscript 4 or ⅓⁴ equals (2/3)⁴ = 16/81.
- (StartFraction 16 Over 3 EndFraction) Superscript 4 or (16/3)⁴ is much larger than 16/81.
- (StartFraction 4 Over 81 EndFraction) squared or (4/81)² equals 16/6561, which is not 16/81.
- (StartFraction 4 Over 9 EndFraction) squared or (4/9)² equals 16/81, which is the value we are looking for.
- (StartFraction 1 Over 81 EndFraction) Superscript 16 or (1/81)⁼ results in a very small number, not 16/81.
Therefore, the expressions that have a value of 16/81 are (Two-thirds) Superscript 4 and (StartFraction 4 Over 9 EndFraction) squared.