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Evaluate the expression: 133−13726213^3-\frac{13^7}{26^2}

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Full solution

Q. Evaluate the expression: 133−13726213^3-\frac{13^7}{26^2}
  1. Calculate 13313^3: Calculate 13313^3.\newline133=13×13×13=219713^3 = 13 \times 13 \times 13 = 2197.
  2. Calculate 13713^7: Calculate 13713^7.\newline137=13×13×13×13×13×13×13=6274851713^7 = 13 \times 13 \times 13 \times 13 \times 13 \times 13 \times 13 = 62748517.
  3. Calculate 26226^2: Calculate 26226^2.\newline262=26×26=67626^2 = 26 \times 26 = 676.
  4. Divide 13713^7 by 26226^2: Divide 13713^7 by 26226^2. \newline137/262=62748517/676≈92805.55513^7 / 26^2 = 62748517 / 676 \approx 92805.555.
  5. Subtract the result: Subtract the result from 13313^3. \newline133−(137262)=2197−92805.555≈−90608.555.13^3 - \left(\frac{13^7}{26^2}\right) = 2197 - 92805.555 \approx -90608.555.

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