Simplify the Radical Expression 8i-9i6i

$8 i \cdot - 9 i \cdot 6 i$

Step 1

Multiply $- 9$ by $8$ .

$- 72 i i \cdot 6 i$

Step 2

Multiply $- 72 i i$ .

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

$- 72 (i^{1} i) \cdot 6 i$

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

$- 72 (i^{1} i^{1}) \cdot 6 i$

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

$- 72 i^{1 + 1} \cdot 6 i$

Add $1$ and $1$ .

$- 72 i^{2} \cdot 6 i$

Step 3

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

$- 72 \cdot - 1 \cdot 6 i$

Step 4

Multiply $- 72 \cdot - 1 \cdot 6$ .

Multiply $- 72$ by $- 1$ .

$72 \cdot 6 i$

Multiply $72$ by $6$ .

$432 i$

Simplify the Radical Expression 8i*-9i*6i