Final answer:
To express (5/3)^4 as a mixed number, we need to raise the fraction (5/3) to the fourth power. This gives us 7 32/81 as the mixed number form of the expression.
Step-by-step explanation:
To express (5/3)^4 as a mixed number, we need to raise the fraction (5/3) to the fourth power.
To do this, we multiply the numerator and denominator of the fraction by itself three more times.
This gives us (5^4)/(3^4), which simplifies to 625/81.
This fraction can be expressed as a mixed number by dividing the numerator (625) by the denominator (81).
We get a quotient of 7 with a remainder of 32. Therefore, the mixed number form of (5/3)^4 is 7 32/81.