Question

simplify. assume all variables are positive.
$\frac{s^{\frac{1}{3}}}{s^{\frac{4}{3}}}$
write your answer in the form a or $\frac{a}{b}$, where a and b are complex? that have no variables in common. all exponents in your answer

Explanation:

Step1: Apply exponent subtraction rule

When dividing like bases, subtract exponents: $s^{\frac{1}{3}-\frac{4}{3}}$

Step2: Calculate the exponent

$\frac{1}{3}-\frac{4}{3} = \frac{1-4}{3} = -\frac{3}{3} = -1$

Step3: Rewrite negative exponent

A negative exponent means reciprocal: $s^{-1} = \frac{1}{s}$

Answer:

$\frac{1}{s}$