Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the movement of the progress bar may be uneven because questions can be…

Question

the movement of the progress bar may be uneven because questions can be worth more o
simplify: $\frac{-16x^{6}}{-4x^{9}}$
$\bigcirc$ $4x^{3}$
$\bigcirc$ $-4x^{3}$
$\bigcirc$ $-\frac{4}{x^{3}}$
$\bigcirc$ $\frac{4}{x^{3}}$

Explanation:

Step1: Simplify the coefficients

$\frac{-16}{-4} = 4$

Step2: Simplify the variable terms

$\frac{x^6}{x^9} = x^{6-9} = x^{-3} = \frac{1}{x^3}$

Step3: Combine the results

$4 \times \frac{1}{x^3} = \frac{4}{x^3}$

Answer:

$\boldsymbol{\frac{4}{x^3}}$ (matches the option: $\boldsymbol{\frac{4}{x^3}}$)