Algebra Examples

$(- 5 i) (2 i) {(- 3 i)}^{2}$

Step 1

Multiply $(- 5 i) (2 i)$ .

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Step 1.1

Multiply $2$ by $- 5$ .

$- 10 i i {(- 3 i)}^{2}$

Step 1.2

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

$- 10 (i^{1} i) {(- 3 i)}^{2}$

Step 1.3

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

$- 10 (i^{1} i^{1}) {(- 3 i)}^{2}$

Step 1.4

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

$- 10 i^{1 + 1} {(- 3 i)}^{2}$

Step 1.5

Add $1$ and $1$ .

$- 10 i^{2} {(- 3 i)}^{2}$

$- 10 i^{2} {(- 3 i)}^{2}$

Step 2

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

$- 10 \cdot - 1 {(- 3 i)}^{2}$

Step 3

Multiply $- 10$ by $- 1$ .

$10 {(- 3 i)}^{2}$

Step 4

Apply the product rule to $- 3 i$ .

$10 ({(- 3)}^{2} i^{2})$

Step 5

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

$10 (9 i^{2})$

Step 6

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

$10 (9 \cdot - 1)$

Step 7

Multiply $10 (9 \cdot - 1)$ .

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Step 7.1

Multiply $9$ by $- 1$ .

$10 \cdot - 9$

Step 7.2

Multiply $10$ by $- 9$ .

$- 90$

$- 90$

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