Simplify 5i+7i*i

$5 i + 7 i \cdot i$

Step 1

Simplify each term.

Multiply $7 i i$ .

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

$5 i + 7 (i^{1} i)$

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

$5 i + 7 (i^{1} i^{1})$

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

$5 i + 7 i^{1 + 1}$

Add $1$ and $1$ .

$5 i + 7 i^{2}$

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

$5 i + 7 \cdot - 1$

Multiply $7$ by $- 1$ .

$5 i - 7$

Step 2

Reorder $5 i$ and $- 7$ .

$- 7 + 5 i$