Algebra Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Apply the product rule to $100 x y$ .

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

Step 2.2

Apply the product rule to $100 x$ .

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

Step 3

Rewrite using the commutative property of multiplication.

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

Step 4

Anything raised to $0$ is $1$ .

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

Step 5

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

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

Step 6

Anything raised to $0$ is $1$ .

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

Step 7

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

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

Step 8

Anything raised to $0$ is $1$ .

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

Step 9

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

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