Question

Evaluate the expression 8a-bc^3 when a = -2, b = 1/3 and c=3

Answer 1

so what's the answer?

Answer 2

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

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

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

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

4. Compute \(bc^3\):
\[
\left(\frac{1}{3}\right)(27) = \frac{27}{3} = 9
\]

5. Substitute these results back into the expression:
\[
-16 - 9
\]

6. Finally, perform the subtraction:
\[
-16 - 9 = -25
\]

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

Answer 3

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