Fill in the blank to give the result of each operation.

[tex]\[
\begin{array}{l}
2 \ast 5 = \square \\
4 \ast \ast 3 = \square \\
\end{array}
\][/tex]

[tex]\[
7 / 2 = \square
\][/tex]

[tex]\[
17 \% 3 = \square
\][/tex]



Answer :

Sure, let's solve each mathematical operation step-by-step:

1. Calculate [tex]\(2 * 5\)[/tex]:
[tex]\[ 2 * 5 = 10 \][/tex]
So, [tex]\[ 2 * 5 = 10 \][/tex]
Therefore, the result is [tex]\( \boxed{10} \)[/tex].

2. Calculate [tex]\(4^{} 3\)[/tex]:
[tex]\[ 4^3 = 4 \times 4 \times 4 = 64 \][/tex]
So, [tex]\[ 4^3 = 64 \][/tex]
Therefore, the result is [tex]\( \boxed{64} \)[/tex].

3. Calculate [tex]\(7 / 2\)[/tex]:
[tex]\[ 7 / 2 = 3.5 \][/tex]
So, [tex]\[ 7 / 2 = 3.5 \][/tex]
Therefore, the result is [tex]\( \boxed{3.5} \)[/tex].

4. Calculate [tex]\(17 \% 3\)[/tex]:
[tex]\[ 17 \% = 17 \mod 3 = 17 - ( \lfloor \frac{17}{3} \rfloor * 3) \][/tex]
[tex]\[ 17 \mod 3 = 17 - (5 * 3) = 17 - 15 = 2 \][/tex]
So, [tex]\[ 17 \% 3 = 2 \][/tex]
Therefore, the result is [tex]\( \boxed{2} \)[/tex].

In summary:
[tex]\[ \begin{array}{l} 2 * 5 = \boxed{10} \\ 4^{} 3 = \boxed{64} \end{array} \][/tex]
[tex]\[ 7 / 2 = \boxed{3.5} \][/tex]
[tex]\[ 17 \% 3 = \boxed{2} \][/tex]