To solve for the value of [tex]\( a^2 b^3 \)[/tex] given [tex]\( a = 2 \)[/tex] and [tex]\( b = 3 \)[/tex], follow these steps:
1. Calculate [tex]\( a^2 \)[/tex]:
[tex]\[
a^2 = (2)^2 = 4
\][/tex]
2. Calculate [tex]\( b^3 \)[/tex]:
[tex]\[
b^3 = (3)^3 = 27
\][/tex]
3. Multiply [tex]\( a^2 \)[/tex] and [tex]\( b^3 \)[/tex] together:
[tex]\[
a^2 b^3 = 4 \times 27 = 108
\][/tex]
Thus, the value of [tex]\( a^2 b^3 \)[/tex] when [tex]\( a = 2 \)[/tex] and [tex]\( b = 3 \)[/tex] is 108.
