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Calculate the value of (32)3.

Mathematics

ScanSolve AI Answer

Answer

729\text{729}

Step-by-step solution

3 steps
  1. Apply the power of a power rule, which states that (am)n=am×n(a^m)^n = a^{m \times n}.

    (32)3=32×3(3^2)^3 = 3^{2 \times 3}
  2. Multiply the exponents.

    32×3=363^{2 \times 3} = 3^6
  3. Calculate the value of 363^6.

    36=3×3×3×3×3×3=9×9×9=81×9=7293^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 9 \times 9 \times 9 = 81 \times 9 = 729

    The simplified value is:

    729\text{729}
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