Simplify (-2i)(5i)(-i)

$(- 2 i) (5 i) (- i)$

Step 1

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

Multiply $5$ by $- 2$ .

$- 10 i i (- i)$

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

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

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

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

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

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

Add $1$ and $1$ .

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

Step 2

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

$- 10 \cdot - 1 (- i)$

Step 3

Multiply $- 10$ by $- 1$ .

$10 (- i)$

Step 4

Multiply $- 1$ by $10$ .

$- 10 i$