Calculus Examples

$s = 2 {(2)}^{2} - 5 \cdot 2$

Step 1

Remove parentheses.

$s = 2 \cdot 2^{2} - 5 \cdot 2$

Step 2

Simplify $2 \cdot 2^{2} - 5 \cdot 2$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

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

Tap for more steps...

Step 2.1.1.1

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

Tap for more steps...

Step 2.1.1.1.1

Raise $2$ to the power of $1$ .

$s = 2^{1} \cdot 2^{2} - 5 \cdot 2$

Step 2.1.1.1.2

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

$s = 2^{1 + 2} - 5 \cdot 2$

Step 2.1.1.2

Add $1$ and $2$ .

$s = 2^{3} - 5 \cdot 2$

Step 2.1.2

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

$s = 8 - 5 \cdot 2$

Step 2.1.3

Multiply $- 5$ by $2$ .

$s = 8 - 10$

Step 2.2

Subtract $10$ from $8$ .

$s = - 2$