Algebra Examples

$\frac{a}{2^{3}} (64) - 12 a \div 6$

Step 1

Simplify each term.

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Step 1.1

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

$\frac{a}{8} \cdot 64 - 12 a \div 6$

Step 1.2

Cancel the common factor of $8$ .

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Step 1.2.1

Factor $8$ out of $64$ .

$\frac{a}{8} \cdot (8 (8)) - 12 a \div 6$

Step 1.2.2

Cancel the common factor.

$\frac{a}{8} \cdot (8 \cdot 8) - 12 a \div 6$

Step 1.2.3

Rewrite the expression.

$a \cdot 8 - 12 a \div 6$

$a \cdot 8 - 12 a \div 6$

Step 1.3

Move $8$ to the left of $a$ .

$8 \cdot a - 12 a \div 6$

Step 1.4

Rewrite the division as a fraction.

$8 a - \frac{12 a}{6}$

Step 1.5

Cancel the common factor of $12$ and $6$ .

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Step 1.5.1

Factor $6$ out of $12 a$ .

$8 a - \frac{6 (2 a)}{6}$

Step 1.5.2

Cancel the common factors.

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Step 1.5.2.1

Factor $6$ out of $6$ .

$8 a - \frac{6 (2 a)}{6 (1)}$

Step 1.5.2.2

Cancel the common factor.

$8 a - \frac{6 (2 a)}{6 \cdot 1}$

Step 1.5.2.3

Rewrite the expression.

$8 a - \frac{2 a}{1}$

Step 1.5.2.4

Divide $2 a$ by $1$ .

$8 a - (2 a)$

$8 a - (2 a)$

$8 a - (2 a)$

Step 1.6

Multiply $2$ by $- 1$ .

$8 a - 2 a$

$8 a - 2 a$

Step 2

Subtract $2 a$ from $8 a$ .

$6 a$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$