(4/3)²  (4/3)³ =
(4/3)²  (4/3)³ = ?
Answer:
To determine the value of the expression (4/3)^2  (4/3)^3, we’ll evaluate each term separately and then subtract the results.

Step 1: Evaluate (4/3)^2

The exponentiation of (4/3)^2 can be calculated as follows:
\left(\frac{4}{3}\right)^2 = \frac{(4)^2}{3^2} = \frac{16}{9}


Step 2: Evaluate (4/3)^3

The exponentiation of (4/3)^3 can be calculated as follows:
\left(\frac{4}{3}\right)^3 = \frac{(4)^3}{3^3} = \frac{64}{27}


Step 3: Subtract the results from Step 1 and Step 2

Now, subtract the result of (4/3)^3 from (4/3)^2:
\frac{16}{9}  \left(\frac{64}{27}\right) 
To subtract these fractions, we need a common denominator. The least common multiple (LCM) of 9 and 27 is 27. Convert \frac{16}{9} to \frac{48}{27}:
\frac{16}{9} = \frac{16 \times 3}{9 \times 3} = \frac{48}{27} 
Now, subtract the fractions using the common denominator:
\frac{48}{27}  \left(\frac{64}{27}\right) = \frac{48}{27} + \frac{64}{27} = \frac{48 + 64}{27} = \frac{112}{27}

Therefore, the value of (4/3)^2  (4/3)^3 is \boxed{\frac{112}{27}}.
Final Answer:
\frac{112}{27}