Calculus Examples

$\frac{2}{3} \cdot {(1)}^{\frac{3}{2}} - 6 {(1)}^{\frac{1}{2}}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

One to any power is one.

$\frac{2}{3} \cdot 1 - 6 {(1)}^{\frac{1}{2}}$

Step 1.2

Multiply $\frac{2}{3}$ by $1$ .

$\frac{2}{3} - 6 {(1)}^{\frac{1}{2}}$

Step 1.3

One to any power is one.

$\frac{2}{3} - 6 \cdot 1$

Step 1.4

Multiply $- 6$ by $1$ .

$\frac{2}{3} - 6$

Step 2

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{2}{3} - 6 \cdot \frac{3}{3}$

Step 3

Combine $- 6$ and $\frac{3}{3}$ .

$\frac{2}{3} + \frac{- 6 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 - 6 \cdot 3}{3}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $- 6$ by $3$ .

$\frac{2 - 18}{3}$

Step 5.2

Subtract $18$ from $2$ .

$\frac{- 16}{3}$

Step 6

Move the negative in front of the fraction.

$- \frac{16}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{16}{3}$

Decimal Form:

$- 5.\overline{3}$

Mixed Number Form:

$- 5 \frac{1}{3}$