Simplify -5x^-5x^0

$- 5 x^{- 5} x^{0}$

Step 1

Multiply $x^{- 5}$ by $x^{0}$ by adding the exponents.

Move $x^{0}$ .

$- 5 (x^{0} x^{- 5})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 5 x^{0 - 5}$

Subtract $5$ from $0$ .

$- 5 x^{- 5}$

Step 2

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

$- 5 \frac{1}{x^{5}}$

Step 3

Combine $- 5$ and $\frac{1}{x^{5}}$ .

$\frac{- 5}{x^{5}}$

Step 4

Move the negative in front of the fraction.

$- \frac{5}{x^{5}}$