Simplify -(10a)^-4b^0

$- {(10 a)}^{- 4} b^{0}$

Step 1

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

$- \frac{1}{{(10 a)}^{4}} b^{0}$

Step 2

Simplify the denominator.

Apply the product rule to $10 a$ .

$- \frac{1}{10^{4} a^{4}} b^{0}$

Raise $10$ to the power of $4$ .

$- \frac{1}{10000 a^{4}} b^{0}$

Step 3

Simplify the expression.

Anything raised to $0$ is $1$ .

$- \frac{1}{10000 a^{4}} \cdot 1$

Multiply $- 1$ by $1$ .

$- \frac{1}{10000 a^{4}}$