Simplify the expression. \[ x^{-\frac{1}{4}} \] \( x^{\frac{1}{2}} x^{\frac{1}{3}} \) Write your answer using only positive exponents. Assume that all variables are positive real numbers.

Write an equation that expresses the following relationship. \( u \) varies directly with \( p \) and inversely with \( d \) In your equation, use \( k \) as the constant of proportionality. पा]

Write an equation that expresses the following relationship. \( p \) varies jointly. with \( d \) and the square root of \( u \) In your equation, use \( k \) as the constant of proportionality. \( \square=\square \quad \frac{\square}{\square} \)

Write an equation that expresses the following relationship. \( w \) varies directly with the cube of \( u \) and inversely with \( d \) In your equation, use \( k \) as the constant of proportionality,

b. \( x^{2}+2 x=15 \)

A one-to-one function is given. Write an equation for the inverse function. \( s(x)=\frac{2}{x+4} \) \( s^{-1}(x)=\square \)