To solve the expression for [tex]\( a = -7 \)[/tex] and [tex]\( b = -3 \)[/tex], we need to compute [tex]\( a^3 - b^2 \)[/tex].
First, let's calculate [tex]\( a^3 \)[/tex]. Given [tex]\( a = -7 \)[/tex]:
[tex]\[ a^3 = (-7)^3 = -7 \times -7 \times -7 = -343 \][/tex]
Next, let's calculate [tex]\( b^2 \)[/tex]. Given [tex]\( b = -3 \)[/tex]:
[tex]\[ b^2 = (-3)^2 = (-3) \times (-3) = 9 \][/tex]
Now, we substitute these values back into the expression [tex]\( a^3 - b^2 \)[/tex]:
[tex]\[ a^3 - b^2 = -343 - 9 \][/tex]
Therefore,
[tex]\[ -343 - 9 = -352 \][/tex]
So, the value of the expression [tex]\( a^3 - b^2 \)[/tex] is:
C. [tex]\(-352\)[/tex]
