In this paper we establish some recurrence relations satisfied by quotient moments of upper record values from the power distribution. Let {$X_n$, $n{geq}1$} be a sequence of independent an identically distributed random variables with a common continuous distribution function(cdf) $F(x)$ and probability density function(pdf) $f(x)$. Let $Y_n=max{X_1,X_2,{cdots},X_n}$ for $n{geq}1$. We say $X_j$ is an upper record value of {$X_n$, $n{geq}1$}, if $Y_j$ > $Y_{j-1}$, $j$ > 1. The indices at which the upper record values occur are given by the record times {$u(n)$}, $n{geq}1$, where $u(n)=min{j{mid}j>u(n-1),X_j>X_{u(n-1)},n{geq}2}$ and $u(1)=1$. Suppose $X{in}POW(0,1,{ heta})$ then $$Eleft(frac{X^r_{u(m)}}{X^{s+1}_{u(n)}} ight)=frac{ heta}{s}Eleft(frac{X^r_{u(m)}}{X^s_{u(n-1)}} ight)+frac{(s- heta)}{s}Eleft(frac{X^r_{u(m)}}{X^s_{u(n)} ight);and;Eleft(frac{X^{r+1}_{u(m)}}{X^s_{u(n)}} ight)=frac{ heta}{n+1}left[Eleft(frac{X^{r+1}_{u(m-1)}}{X^s_{u(n+1)}} ight)-Eleft(frac{X^{r+1}_{u(m)}}{X^s_{u(n-1)}} ight)+frac{r+1}{ heta}Eleft(frac{X^r_{u(m)}}{X^s_{u(n)}} ight) ight]$$.