Simplify (i)(2i)(-7i)

$(i) (2 i) (- 7 i)$

Multiply $(i) (2 i)$ .

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

$2 (i^{1} i) (- 7 i)$

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

$2 (i^{1} i^{1}) (- 7 i)$

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

$2 i^{1 + 1} (- 7 i)$

Add $1$ and $1$ .

$2 i^{2} (- 7 i)$

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

$2 \cdot - 1 (- 7 i)$

Multiply $2$ by $- 1$ .

$- 2 (- 7 i)$

Multiply $- 7$ by $- 2$ .

$14 i$