Question

Evaluate the expression `8a-bc^{3}` when `a\ =\ -2`, `b\ =\frac{1}{3}`, and `c=3`.

Answer 1

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

1. Substitute the values of \( a \), \( b \), and \( c \):

\[
8a - bc^3 = 8(-2) - \left(\frac{1}{3}\right)(3^3)
\]

2. Calculate \( 8(-2) \):

\[
8(-2) = -16
\]

3. Next, calculate \( c^3 \):

\[
c^3 = 3^3 = 27
\]

4. Now substitute \( c^3 \) back into the expression:

\[
bc^3 = \left(\frac{1}{3}\right)(27)
\]

5. Calculate \( \frac{1}{3} \times 27 \):

\[
\frac{1}{3} \times 27 = 9
\]

6. Now substitute everything back into the expression:

\[
8a - bc^3 = -16 - 9
\]

7. Combine the terms:

\[
-16 - 9 = -25
\]

Thus, the value of the expression \( 8a - bc^3 \) is

\[
\boxed{-25}.
\]

Answer 2

what is the final result?

Answer 3

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

\[
\boxed{-25}.
\]

Answer 4

is it parentheses -25 or {-25}

Answer 5

The typical notation for expressing the result would be with parentheses when indicating a number, so it would be written as \(-25\) or \((-25)\). The use of curly braces \(\{-25\}\) could imply a set containing the number \(-25\), which is less common when simply expressing a numerical result.

In summary, the correct way to express the result of the expression is:

\[
(-25)
\]

However, if you want to represent it as a set, you could write:

\[
\{-25\}
\]

But for the context of simply providing the value of the expression, use the parentheses:

\[
(-25)
\]