Evaluate Using the Given Value Evaluate 8+w/4 when w=16

Evaluate $8 + \frac{w}{4}$ when $w = 16$

Step 1

Replace the variable $w$ with $16$ in the expression.

$e v a l u a t e \cdot 8 + \frac{16}{4}$

Step 2

Simplify each term.

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$e v (a \cdot a) l u t e \cdot 8 + \frac{16}{4}$

Multiply $a$ by $a$ .

$e v a^{2} l u t e \cdot 8 + \frac{16}{4}$

Multiply $e v a^{2} l u t e$ .

Raise $e$ to the power of $1$ .

$v a^{2} l u t (e^{1} e) \cdot 8 + \frac{16}{4}$

Raise $e$ to the power of $1$ .

$v a^{2} l u t (e^{1} e^{1}) \cdot 8 + \frac{16}{4}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$v a^{2} l u t e^{1 + 1} \cdot 8 + \frac{16}{4}$

Add $1$ and $1$ .

$v a^{2} l u t e^{2} \cdot 8 + \frac{16}{4}$

Move $8$ to the left of $v a^{2} l u t e^{2}$ .

$8 \cdot (v a^{2} l u t e^{2}) + \frac{16}{4}$

Divide $16$ by $4$ .

$8 v a^{2} l u t e^{2} + 4$