Abe took power in December 2012 on the back of widespread frustration with the previous administration's handling of the March 2011 nuclear disaster and a faltering economy which he vowed to revive.
But his Liberal Democratic Party (LDP) suffered a drubbing in a July 2 vote for Tokyo's municipal assembly that media and analysts chalked up to a growing perception of "arrogance" on the part of his government.
For months Abe has been dogged by scandals, most recently claims he showed favouritism to a friend in a business deal, an accusation he denies.
Voter support for Abe's cabinet dropped five percentage points in just a week to 33 percent according to the latest poll of more than 2,000 voters by the liberal Asahi Shimbun, marking the lowest level since he took office more than four years ago.
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Among those who disapproved of Abe, 95 percent were critical of how he addressed the favouritism scandal.
"As to recent falls in public support, we take them seriously as the people's voice, as the prime minister has said," top government spokesman Yoshihide Suga told reporters when asked about the latest polls.
The current scandal surrounds the establishment of a veterinary department at a university.
It came a few months after Abe was forced to deny connections to the controversial director of a nationalistic school that purchased government land at a huge discount -- and counted Abe's wife as its honourary principal.
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