Basic Math Examples

$5 - 8 \cdot \frac{2}{4} + 6 \cdot {(8 - 2)}^{2}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $- 8$ .

$5 + 4 (- 2) \cdot \frac{2}{4} + 6 \cdot {(8 - 2)}^{2}$

Step 1.1.2

Cancel the common factor.

$5 + 4 \cdot - 2 \cdot \frac{2}{4} + 6 \cdot {(8 - 2)}^{2}$

Step 1.1.3

Rewrite the expression.

$5 - 2 \cdot 2 + 6 \cdot {(8 - 2)}^{2}$

Step 1.2

Multiply $- 2$ by $2$ .

$5 - 4 + 6 \cdot {(8 - 2)}^{2}$

Step 1.3

Subtract $2$ from $8$ .

$5 - 4 + 6 \cdot 6^{2}$

Step 1.4

Multiply $6$ by $6^{2}$ by adding the exponents.

Tap for more steps...

Step 1.4.1

Multiply $6$ by $6^{2}$ .

Tap for more steps...

Step 1.4.1.1

Raise $6$ to the power of $1$ .

$5 - 4 + 6^{1} \cdot 6^{2}$

Step 1.4.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5 - 4 + 6^{1 + 2}$

Step 1.4.2

Add $1$ and $2$ .

$5 - 4 + 6^{3}$

Step 1.5

Raise $6$ to the power of $3$ .

$5 - 4 + 216$

Step 2

Simplify by adding and subtracting.

Tap for more steps...

Step 2.1

Subtract $4$ from $5$ .

$1 + 216$

Step 2.2

Add $1$ and $216$ .

$217$