Question

Evaluate the expression at specific values of their variables
Evaluate a^4 - b(c) + 2(a) divided by 2

A = 2, b = 4, c = 3

Answer 1

To evaluate the expression \( \frac{a^4 - b(c) + 2(a)}{2} \) using the values \( a = 2 \), \( b = 4 \), and \( c = 3 \), we will follow these steps:

1. Substitute the values into the expression.
2. Perform the operations outlined in the expression.

Let's start by substituting the values into the expression:

\[
a^4 = 2^4 = 16
\]

\[
b(c) = 4(3) = 12
\]

\[
2(a) = 2(2) = 4
\]

Now we can substitute these results back into the expression:

\[
a^4 - b(c) + 2(a) = 16 - 12 + 4
\]

Now, perform the arithmetic step by step:

1. \( 16 - 12 = 4 \)
2. \( 4 + 4 = 8 \)

Now we have:

\[
\frac{8}{2} = 4
\]

Thus, the final result of evaluating the expression is:

\[
\boxed{4}
\]