Calculus Examples

$\frac{3 \cdot 1^{\frac{4}{3}}}{4} - 2 - (\frac{3 \cdot (- 1^{\frac{4}{3}})}{4} + 2)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

One to any power is one.

$\frac{3 \cdot 1}{4} - 2 - (\frac{3 \cdot (- 1^{\frac{4}{3}})}{4} + 2)$

Step 1.2

Multiply $3$ by $1$ .

$\frac{3}{4} - 2 - (\frac{3 \cdot (- 1^{\frac{4}{3}})}{4} + 2)$

Step 1.3

Simplify each term.

Tap for more steps...

Step 1.3.1

Multiply $3$ by $- 1$ .

$\frac{3}{4} - 2 - (\frac{- 3 \cdot 1^{\frac{4}{3}}}{4} + 2)$

Step 1.3.2

One to any power is one.

$\frac{3}{4} - 2 - (\frac{- 3 \cdot 1}{4} + 2)$

Step 1.3.3

Multiply $- 3$ by $1$ .

$\frac{3}{4} - 2 - (\frac{- 3}{4} + 2)$

Step 1.3.4

Move the negative in front of the fraction.

$\frac{3}{4} - 2 - (- \frac{3}{4} + 2)$

Step 1.4

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3}{4} - 2 - (- \frac{3}{4} + 2 \cdot \frac{4}{4})$

Step 1.5

Combine $2$ and $\frac{4}{4}$ .

$\frac{3}{4} - 2 - (- \frac{3}{4} + \frac{2 \cdot 4}{4})$

Step 1.6

Combine the numerators over the common denominator.

$\frac{3}{4} - 2 - \frac{- 3 + 2 \cdot 4}{4}$

Step 1.7

Simplify the numerator.

Tap for more steps...

Step 1.7.1

Multiply $2$ by $4$ .

$\frac{3}{4} - 2 - \frac{- 3 + 8}{4}$

Step 1.7.2

Add $- 3$ and $8$ .

$\frac{3}{4} - 2 - \frac{5}{4}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$- 2 + \frac{3 - 5}{4}$

Step 2.2

Subtract $5$ from $3$ .

$- 2 + \frac{- 2}{4}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Cancel the common factor of $- 2$ and $4$ .

Tap for more steps...

Step 3.1.1

Factor $2$ out of $- 2$ .

$- 2 + \frac{2 (- 1)}{4}$

Step 3.1.2

Cancel the common factors.

Tap for more steps...

Step 3.1.2.1

Factor $2$ out of $4$ .

$- 2 + \frac{2 \cdot - 1}{2 \cdot 2}$

Step 3.1.2.2

Cancel the common factor.

$- 2 + \frac{2 \cdot - 1}{2 \cdot 2}$

Step 3.1.2.3

Rewrite the expression.

$- 2 + \frac{- 1}{2}$

Step 3.2

Move the negative in front of the fraction.

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

Step 4

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 5

Combine $- 2$ and $\frac{2}{2}$ .

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

Step 6

Combine the numerators over the common denominator.

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

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply $- 2$ by $2$ .

$\frac{- 4 - 1}{2}$

Step 7.2

Subtract $1$ from $- 4$ .

$\frac{- 5}{2}$

Step 8

Move the negative in front of the fraction.

$- \frac{5}{2}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{2}$

Decimal Form:

$- 2.5$

Mixed Number Form:

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