For this case we must find an expression equivalent to:
[tex](2 \frac {1} {2} * 2 \frac {3} {2}) ^ 2[/tex]
So, we have:
[tex]2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}\\2 \frac {3} {2} = \frac {2 * 2 + 3} {2} = \frac {7} {2}[/tex]
Rewriting the expression:
[tex](\frac {5} {2} * \frac {7} {2}) ^ 2 =\\(\frac {35} {4}) ^ 2 =\\\frac {35} {4} * \frac {35} {4} =\\\frac {1225} {16} =\\76 \frac {9} {16}[/tex]
Answer:
[tex]76 \frac {9} {16}[/tex]
