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In this educational video, we from the channel Maths Platter tackle a quantitative aptitude question involving indices and exponents. The problem posed is: If (5^a = 3125), what is the value of (5^{(a-3)})? The video begins by breaking down the initial equation, (5^a = 3125). We explain that (3125) can be expressed as a power of (5). Through calculation, it is established that (3125) is equivalent to (5^5). This foundational understanding is crucial for solving the problem. Next, the video transitions to finding (5^{(a-3)}). We demonstrat that this expression can be rewritten using the properties of exponents. Specifically, (5^{(a-3)}) can be expressed as ({5^a}/{5^3}). By substituting (5^a) with (3125) (or (5^5)), the equation becomes ({3125}/{5^3}). We then calculates (5^3), which equals (125). This leads to the division of (3125) by (125). The calculation is straightforward, resulting in (25). We confirm that the final answer is (25), which corresponds to option A in the multiple-choice question. Throughout the video, we maintain a clear and engaging teaching style, making complex concepts accessible to viewers. We effectively convey the necessary steps to solve the problem. The video aims to help students and learners grasp the fundamentals of indices and exponents in a quantitative aptitude context. Overall, this video serves as a valuable resource for anyone looking to improve their understanding of indices and exponents in mathematics. #quantitativeaptitude #indices #exponents

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