Question

Evaluate the expression (1 point)
Evaluate the expression 8a−bc^3 when a = −2, b =
1/3​, and c=3.

Answer 1

To evaluate the expression \( 8a - bc^3 \) when \( a = -2 \), \( b = \frac{1}{3} \), and \( c = 3 \), we will substitute the values of \( a \), \( b \), and \( c \) into the expression and simplify.

1. Substitute the values:
\[
8(-2) - \left(\frac{1}{3}\right)(3^3)
\]

2. Calculate \( 8(-2) \):
\[
8(-2) = -16
\]

3. Calculate \( 3^3 \):
\[
3^3 = 27
\]

4. Now substitute \( 27 \) into the expression:
\[
-16 - \left(\frac{1}{3}\right)(27)
\]

5. Calculate \(\left(\frac{1}{3}\right)(27)\):
\[
\left(\frac{1}{3}\right)(27) = 9
\]

6. Substitute back into the expression:
\[
-16 - 9
\]

7. Now simplify:
\[
-16 - 9 = -25
\]

Therefore, the value of the expression \( 8a - bc^3 \) when \( a = -2 \), \( b = \frac{1}{3} \), and \( c = 3 \) is \(-25\).