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Simplify (3y3)4{(3y^{3})^{4}}

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Full solution

Q. Simplify (3y3)4{(3y^{3})^{4}}
  1. Calculate Power of Base 33: Now, we calculate the power of the base 33. 34=3×3×3×3=813^{4} = 3 \times 3 \times 3 \times 3 = 81.
  2. Calculate Power of y3y^{3}: Next, we calculate the power of y3y^{3} raised to the 4th4^{\text{th}} power.\newline(y3)4=y3⋅4=y12.(y^{3})^{4} = y^{3\cdot4} = y^{12}.
  3. Combine Results: Combine the results from the previous steps to get the final simplified expression. 81×y1281 \times y^{12}.

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