Two squares are constructed using sides expressed with rational exponents

MATHEMATICS · Subjective · CBSE · Mathematics · Number Systems · Number Systems

Problem

Two squares are constructed using sides expressed with rational exponents. Square A has side 1634 cm16^{\tfrac{3}{4}}\text{ cm}, and Square B has side 843 cm8^{\tfrac{4}{3}}\text{ cm}. Answer the following: (i) Rewrite the side of each square as an integral power of 2. (ii) Find the exact area of each square. (iii) State which square has the greater area and calculate by how many square centimetres it exceeds the other.

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