Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

\\\\frac{x^{-4}}{x^6}\\

Question

\\\frac{x^{-4}}{x^6}\\

Explanation:

Apply the quotient rule for exponents

$$ \frac{x^{-4}}{x^6} = x^{-4 - 6} $$

Simplify the exponent

$$ x^{-4 - 6} = x^{-10} $$

Write with a positive exponent

$$ x^{-10} = \frac{1}{x^{10}} $$

Answer:

$$\frac{1}{x^{10}}$$