Simplify 5i*(-i)

$5 i \cdot (- i)$

Step 1

Multiply $5 i (- i)$ .

Multiply $- 1$ by $5$ .

$- 5 i i$

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

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

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

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

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

$- 5 i^{1 + 1}$

Add $1$ and $1$ .

$- 5 i^{2}$

Step 2

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

$- 5 \cdot - 1$

Step 3

Multiply $- 5$ by $- 1$ .

$5$