Calculus Examples

$\frac{(0 - 5) (2) (0 - 1) - {(0 - 1)}^{2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $5$ from $0$ .

$\frac{- 5 \cdot 2 (0 - 1) - {(0 - 1)}^{2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.2

Multiply $- 5$ by $2$ .

$\frac{- 10 (0 - 1) - {(0 - 1)}^{2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.3

Subtract $1$ from $0$ .

$\frac{- 10 \cdot - 1 - {(0 - 1)}^{2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.4

Multiply $- 10$ by $- 1$ .

$\frac{10 - {(0 - 1)}^{2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.5

Subtract $1$ from $0$ .

$\frac{10 - {(- 1)}^{2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.6

Multiply $- 1$ by ${(- 1)}^{2}$ by adding the exponents.

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Step 1.6.1

Multiply $- 1$ by ${(- 1)}^{2}$ .

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Step 1.6.1.1

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

$\frac{10 + {(- 1)}^{1} {(- 1)}^{2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.6.1.2

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

$\frac{10 + {(- 1)}^{1 + 2} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.6.2

Add $1$ and $2$ .

$\frac{10 + {(- 1)}^{3} \cdot 1}{{(0 - 5)}^{2}}$

Step 1.7

Simplify ${(- 1)}^{3} \cdot 1$ .

$\frac{10 + {(- 1)}^{3}}{{(0 - 5)}^{2}}$

Step 1.8

Raise $- 1$ to the power of $3$ .

$\frac{10 - 1}{{(0 - 5)}^{2}}$

Step 1.9

Subtract $1$ from $10$ .

$\frac{9}{{(0 - 5)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $5$ from $0$ .

$\frac{9}{{(- 5)}^{2}}$

Step 2.2

Raise $- 5$ to the power of $2$ .

$\frac{9}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{25}$

Decimal Form:

$0.36$