Consider the following tasks related to the laws of exponents.

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

Problem

Consider the following tasks related to the laws of exponents. (i) State the zero exponent rule and the negative exponent rule for any non-zero real number aa. (ii) Explain, with reference to the laws of exponents, why 50=15^0 = 1 even though multiplication by zero usually gives zero. (iii) Write (23)−2\left(\dfrac{2}{3}\right)^{-2} using only positive exponents and simplify the result to a single fraction, explaining each step briefly.

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