  We examine here the proposition that all multiparty quantum states can be
made monogamous by considering positive integral powers of any quantum
correlation measure. With Rajagopal-Rendell quantum deficit as the measure of
quantum correlations for symmetric 3-qubit pure states, we illustrate that
monogamy inequality is satisfied for higher powers of quantum deficit. We
discuss the drawbacks of this inequality in quantification of correlations in
the state. We also prove a monogamy inequality in higher powers of classical
mutual information and bring out the fact that such inequality need not
necessarily imply restricted shareability of correlations. We thus disprove the
utility of higher powers of any correlation measure in establishing monogamous
nature in multiparty quantum states.
