Compact unequal power dividers are suggested for high-power division ratios and arbitrary phase differences. The power dividers are classified into two parts: power-dividing and impedance-transforming parts and consist of the asymmetric impedance transformers of constant voltage-standing wave ratio (VSWR)-type transmission-line impedance transformers (CVTs) and constant conductance-type transmission-line impedance transformers (CCTs). Given the special properties of asymmetric impedance transformers, the arbitrary phase differences between two outputs may be obtained by controlling the impedance-transforming part. Compactness can be achieved by using the equivalent circuits of stepped-impedance modified T-types and LS1-types. A power divider with a power division ratio of 9 (9.542 dB) and total transmission line sections that are 181.1 ° long is fabricated to verify compactness and best frequency performance. Another power divider comprising two CVTs and two different CCTs is measured for 45 ° phase difference between two outputs. The measured results are in good agreement with the predicted findings.