Algebra Examples

$- 7 + 16 \div 2^{4} + (10 - 4^{2})$

Step 1

Remove parentheses.

$- 7 + 16 \div 2^{4} + 10 - 4^{2}$

Step 2

Find the common denominator.

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Step 2.1

Raise $2$ to the power of $4$ .

$- 7 + 16 \div 16 + 10 - 4^{2}$

Step 2.2

Write $- 7$ as a fraction with denominator $1$ .

$\frac{- 7}{1} + 16 \div 16 + 10 - 4^{2}$

Step 2.3

Multiply $\frac{- 7}{1}$ by $\frac{16}{16}$ .

$\frac{- 7}{1} \cdot \frac{16}{16} + 16 \div 16 + 10 - 4^{2}$

Step 2.4

Multiply $\frac{- 7}{1}$ by $\frac{16}{16}$ .

$\frac{- 7 \cdot 16}{16} + 16 \div 16 + 10 - 4^{2}$

Step 2.5

Write $10$ as a fraction with denominator $1$ .

$\frac{- 7 \cdot 16}{16} + 16 \div 16 + \frac{10}{1} - 4^{2}$

Step 2.6

Multiply $\frac{10}{1}$ by $\frac{16}{16}$ .

$\frac{- 7 \cdot 16}{16} + 16 \div 16 + \frac{10}{1} \cdot \frac{16}{16} - 4^{2}$

Step 2.7

Multiply $\frac{10}{1}$ by $\frac{16}{16}$ .

$\frac{- 7 \cdot 16}{16} + 16 \div 16 + \frac{10 \cdot 16}{16} - 4^{2}$

Step 2.8

Write $- 4^{2}$ as a fraction with denominator $1$ .

$\frac{- 7 \cdot 16}{16} + 16 \div 16 + \frac{10 \cdot 16}{16} + \frac{- 4^{2}}{1}$

Step 2.9

Multiply $\frac{- 4^{2}}{1}$ by $\frac{16}{16}$ .

$\frac{- 7 \cdot 16}{16} + 16 \div 16 + \frac{10 \cdot 16}{16} + \frac{- 4^{2}}{1} \cdot \frac{16}{16}$

Step 2.10

Multiply $\frac{- 4^{2}}{1}$ by $\frac{16}{16}$ .

$\frac{- 7 \cdot 16}{16} + 16 \div 16 + \frac{10 \cdot 16}{16} + \frac{- 4^{2} \cdot 16}{16}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 7 \cdot 16 + 16 + 10 \cdot 16 - 4^{2} \cdot 16}{16}$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 7$ by $16$ .

$\frac{- 112 + 16 + 10 \cdot 16 - 4^{2} \cdot 16}{16}$

Step 4.2

Multiply $10$ by $16$ .

$\frac{- 112 + 16 + 160 - 4^{2} \cdot 16}{16}$

Step 4.3

Raise $4$ to the power of $2$ .

$\frac{- 112 + 16 + 160 - 1 \cdot 16 \cdot 16}{16}$

Step 4.4

Multiply $- 1 \cdot 16 \cdot 16$ .

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Step 4.4.1

Multiply $- 1$ by $16$ .

$\frac{- 112 + 16 + 160 - 16 \cdot 16}{16}$

Step 4.4.2

Multiply $- 16$ by $16$ .

$\frac{- 112 + 16 + 160 - 256}{16}$

Step 5

Simplify the expression.

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Step 5.1

Add $- 112$ and $16$ .

$\frac{- 96 + 160 - 256}{16}$

Step 5.2

Add $- 96$ and $160$ .

$\frac{64 - 256}{16}$

Step 5.3

Subtract $256$ from $64$ .

$\frac{- 192}{16}$

Step 5.4

Divide $- 192$ by $16$ .

$- 12$