Simplify (5^-1)/(-9^0)

$\frac{5^{- 1}}{- 9^{0}}$

Step 1

Move $5^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{- 9^{0} \cdot 5}$

Step 2

Multiply $5$ by $- 1$ .

$\frac{1}{- 5 \cdot 9^{0}}$

Step 3

Anything raised to $0$ is $1$ .

$\frac{1}{- 5 \cdot 1}$

Step 4

Multiply $- 5$ by $1$ .

$\frac{1}{- 5}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{5}$

Decimal Form:

$- 0.2$