Algebra Examples

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

Step 1

Factor out $i^{4}$ .

${(3 (i^{4} i))}^{2}$

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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

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

Step 3

Multiply $i$ by $1$ .

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

Step 4

Apply the product rule to $3 i$ .

$3^{2} i^{2}$

Step 5

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

$9 i^{2}$

Step 6

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

$9 \cdot - 1$

Step 7

Multiply $9$ by $- 1$ .

$- 9$

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