Simplify 30i*(-7i-1)

$30 i \cdot (- 7 i - 1)$

Step 1

Apply the distributive property.

$30 i (- 7 i) + 30 i \cdot - 1$

Step 2

Multiply $30 i (- 7 i)$ .

Multiply $- 7$ by $30$ .

$- 210 i i + 30 i \cdot - 1$

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

$- 210 (i^{1} i) + 30 i \cdot - 1$

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

$- 210 (i^{1} i^{1}) + 30 i \cdot - 1$

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

$- 210 i^{1 + 1} + 30 i \cdot - 1$

Add $1$ and $1$ .

$- 210 i^{2} + 30 i \cdot - 1$

Step 3

Multiply $- 1$ by $30$ .

$- 210 i^{2} - 30 i$

Step 4

Simplify each term.

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

$- 210 \cdot - 1 - 30 i$

Multiply $- 210$ by $- 1$ .

$210 - 30 i$