49x⁶y¹⁰ tiles are required to cover the floor;
Side length of the square floor = 7x⁵y⁶;
Side length of the square tile = x²y;
Area of the given floor is = (7x⁵y⁶)² sq units
= 7²x¹⁰y¹² sq units
= 49x¹⁰y¹² sq units.
Area of a tile is = (x²y)² sq units
= x⁴y² sq units.
Let no. of tiles required be 'n';
Area of square floor = (No. of square tiles) × (Area of 1 square tile);
49x¹⁰y¹² = n × x⁴y²;
n = 49x⁶y¹⁰;
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