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People are interested in approximate computing to make low-power, high-performance computers, which is in response to the growing need for computers that use less energy [2, 3]. A lot of different tasks need multipliers, like machine learning, image processing, and digital signal processing (DSP) [6, 8]. This work introduces an innovative approximation multiplier that optimises power efficiency and accuracy through the integration of higher-order compressors [9, 10]. These compressors reduce the amount of space needed, the amount of power used, and the time it takes to process data while keeping the required level of accuracy [5, 7]. To improve efficiency, we substitute the traditional Carry Kogge Stone Adder (CKSA) with a Carry Look-Ahead Adder (CLA) for expedited summation. Experimental testing with Xilinx Vivado 17.3v confirms the efficacy of our solution, showcasing substantial enhancements compared to prior designs. Key Word: Approximate Computing, Low-Power Multiplier, Higher-Order Compressors, Carry Look-Ahead Adder (CLA), Xilinx Vivado .