Simplify -(6yz)^-2x^0

$- {(6 y z)}^{- 2} x^{0}$

Step 1

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

$- \frac{1}{{(6 y z)}^{2}} x^{0}$

Step 2

Simplify the denominator.

Apply the product rule to $6 y z$ .

$- \frac{1}{{(6 y)}^{2} z^{2}} x^{0}$

Apply the product rule to $6 y$ .

$- \frac{1}{6^{2} y^{2} z^{2}} x^{0}$

Raise $6$ to the power of $2$ .

$- \frac{1}{36 y^{2} z^{2}} x^{0}$

Step 3

Simplify the expression.

Anything raised to $0$ is $1$ .

$- \frac{1}{36 y^{2} z^{2}} \cdot 1$

Multiply $- 1$ by $1$ .

$- \frac{1}{36 y^{2} z^{2}}$