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Evaluate the power of the fraction.

Mathematics

ScanSolve AI Answer

Answer

271000\frac{27}{1000}

Step-by-step solution

4 steps
  1. Evaluate the power of the fraction.

    To evaluate (310)3\left(\frac{3}{10}\right)^3, we apply the exponent to both the numerator and the denominator.

    (310)3=33103\left(\frac{3}{10}\right)^3 = \frac{3^3}{10^3}
  2. Calculate the value of the numerator.

    33=3×3×3=9×3=273^3 = 3 \times 3 \times 3 = 9 \times 3 = 27
  3. Calculate the value of the denominator.

    103=10×10×10=100×10=100010^3 = 10 \times 10 \times 10 = 100 \times 10 = 1000
  4. Combine the results to get the final fraction.

    271000\frac{27}{1000}
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