Basic Math Examples

$(i^{2}) (5 i) (8 i^{5})$

Step 1

Rewrite $i^{2}$ as $- 1$ .

$- 1 (5 i) (8 i^{5})$

Step 2

Multiply $5$ by $- 1$ .

$- 5 i (8 i^{5})$

Step 3

Factor out $i^{4}$ .

$- 5 i (8 (i^{4} i))$

Step 4

Rewrite $i^{4}$ as $1$ .

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Step 4.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$- 5 i (8 ({(i^{2})}^{2} i))$

Step 4.2

Rewrite $i^{2}$ as $- 1$ .

$- 5 i (8 ({(- 1)}^{2} i))$

Step 4.3

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

$- 5 i (8 (1 i))$

$- 5 i (8 (1 i))$

Step 5

Multiply $i$ by $1$ .

$- 5 i (8 i)$

Step 6

Multiply $- 5 i (8 i)$ .

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Step 6.1

Multiply $8$ by $- 5$ .

$- 40 i i$

Step 6.2

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

$- 40 (i^{1} i)$

Step 6.3

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

$- 40 (i^{1} i^{1})$

Step 6.4

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

$- 40 i^{1 + 1}$

Step 6.5

Add $1$ and $1$ .

$- 40 i^{2}$

$- 40 i^{2}$

Step 7

Rewrite $i^{2}$ as $- 1$ .

$- 40 \cdot - 1$

Step 8

Multiply $- 40$ by $- 1$ .

$40$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$