Simplify d^-8(100xy)^0

$d^{- 8} {(100 x y)}^{0}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{d^{8}} {(100 x y)}^{0}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $100 x y$ .

$\frac{1}{d^{8}} ({(100 x)}^{0} y^{0})$

Apply the product rule to $100 x$ .

$\frac{1}{d^{8}} (100^{0} x^{0} y^{0})$

Rewrite using the commutative property of multiplication.

$100^{0} \frac{1}{d^{8}} x^{0} y^{0}$

Anything raised to $0$ is $1$ .

$1 \frac{1}{d^{8}} x^{0} y^{0}$

Multiply $\frac{1}{d^{8}}$ by $1$ .

$\frac{1}{d^{8}} x^{0} y^{0}$

Anything raised to $0$ is $1$ .

$\frac{1}{d^{8}} \cdot 1 y^{0}$

Multiply $\frac{1}{d^{8}}$ by $1$ .

$\frac{1}{d^{8}} y^{0}$

Anything raised to $0$ is $1$ .

$\frac{1}{d^{8}} \cdot 1$

Multiply $\frac{1}{d^{8}}$ by $1$ .

$\frac{1}{d^{8}}$