Simplify (32i)(-8i)(11-i)-42

$(32 i) (- 8 i) (11 - i) - 42$

Simplify each term.

Multiply $(32 i) (- 8 i)$ .

Multiply $- 8$ by $32$ .

$- 256 i i (11 - i) - 42$

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

$- 256 (i^{1} i) (11 - i) - 42$

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

$- 256 (i^{1} i^{1}) (11 - i) - 42$

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

$- 256 i^{1 + 1} (11 - i) - 42$

Add $1$ and $1$ .

$- 256 i^{2} (11 - i) - 42$

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

$- 256 \cdot - 1 (11 - i) - 42$

Multiply $- 256$ by $- 1$ .

$256 (11 - i) - 42$

Apply the distributive property.

$256 \cdot 11 + 256 (- i) - 42$

Multiply $256$ by $11$ .

$2816 + 256 (- i) - 42$

Multiply $- 1$ by $256$ .

$2816 - 256 i - 42$

Subtract $42$ from $2816$ .

$2774 - 256 i$