(a) State the quotient rule for integral exponents involving a non–zero base. (b)…

MATHEMATICS · Subjective · CBSE · Mathematics · Power Play · Power Play

Problem

(a) State the quotient rule for integral exponents involving a non–zero base. (b) Using the rule stated in part (a), explain why a0=1a^{0}=1 for any non–zero real number aa. (c) Verify your explanation in part (b) by showing that 75×7−570=1.\frac{7^{5}\times 7^{-5}}{7^{0}}=1.

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