Answer the following questions related to integral laws of exponents.

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Answer the following questions related to integral laws of exponents. (i) State any two laws of exponents that involve multiplication or division of powers having the same base. (ii) Explain, using one of the laws stated in part (i), why a0=1a^{0}=1 for any non-zero integer aa. (iii) Simplify 54×5−2×2525^{4}\times5^{-2}\times25^{2} and express the result as a single power of 55. Show each step clearly.

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