91Ó°ÊÓ

In the following exercises, multiply using the Product of Complex Conjugates Pattern.

$\left(9-2i\right)\left(9+2i\right)$

Divide Complex Numbers

$\frac{-4}{3-2i}$

In the following exercises, simplify.

$i^{48}$

In the following exercises, simplify.

$i^{255}$

In the following exercises, use the Product Property to simplify radical expressions$\sqrt{96}$

Simplify using absolute values as necessary.

$\sqrt{169x^8{y}^6}$

Simplify using absolute values as necessary.

$\sqrt[3]{72x^8{y}^4}$

Simplify using absolute values as necessary.

$\sqrt{\frac{45x^3{y}^4}{180x^5{y}^2}}$

In the following exercises, simplify. Assume all variables are positive.

(a) ${216}^{-\frac{1}{4}}$

(b)$-{49}^{\frac{3}{2}}$