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Evaluate (1+5^2)-16(1/2)^3

$(1 + 5^{2}) - 16 {(\frac{1}{2})}^{3}$

Step 1

Simplify each term.

Raise $5$ to the power of $2$ .

$1 + 25 - 16 {(\frac{1}{2})}^{3}$

Apply the product rule to $\frac{1}{2}$ .

$1 + 25 - 16 \frac{1^{3}}{2^{3}}$

One to any power is one.

$1 + 25 - 16 \frac{1}{2^{3}}$

Raise $2$ to the power of $3$ .

$1 + 25 - 16 (\frac{1}{8})$

Cancel the common factor of $8$ .

Factor $8$ out of $- 16$ .

$1 + 25 + 8 (- 2) \frac{1}{8}$

Cancel the common factor.

$1 + 25 + 8 \cdot - 2 \frac{1}{8}$

Rewrite the expression.

$1 + 25 - 2$

$1 + 25 - 2$

$1 + 25 - 2$

Step 2

Simplify by adding and subtracting.

Add $1$ and $25$ .

$26 - 2$

Subtract $2$ from $26$ .

$24$

$24$

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