Algebra Examples

$78 - 2^{4} \div (14 - 6) \cdot 2$

Step 1

Simplify each term.

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Step 1.1

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

$78 - 16 \div (14 - 6) \cdot 2$

Step 1.2

Subtract $6$ from $14$ .

$78 - 16 \div 8 \cdot 2$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Move the leading negative in $- 16 \div 8$ into the numerator.

$78 + - 16 \div 8 \cdot 2$

Step 1.3.2

Factor $2$ out of $8$ .

$78 + - 16 \div 2 (4) \cdot 2$

Step 1.3.3

Cancel the common factor.

$78 + - 16 \div 2 \cdot 4 \cdot 2$

Step 1.3.4

Rewrite the expression.

$78 + \frac{- 16}{4}$

Step 1.4

Divide $- 16$ by $4$ .

$78 - 4$

Step 2

Subtract $4$ from $78$ .

$74$