Find the Exact Value 1/4(-4^3+10^2)

$\frac{1}{4} (- 4^{3} + 10^{2})$

Step 1

Simplify each term.

Raise $4$ to the power of $3$ .

$\frac{1}{4} (- 1 \cdot 64 + 10^{2})$

Multiply $- 1$ by $64$ .

$\frac{1}{4} (- 64 + 10^{2})$

Raise $10$ to the power of $2$ .

$\frac{1}{4} (- 64 + 100)$

Step 2

Reduce the expression by cancelling the common factors.

Add $- 64$ and $100$ .

$\frac{1}{4} \cdot 36$

Cancel the common factor of $4$ .

Factor $4$ out of $36$ .

$\frac{1}{4} \cdot (4 (9))$

Cancel the common factor.

$\frac{1}{4} \cdot (4 \cdot 9)$

Rewrite the expression.

$9$