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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline32⋅32=3^{2}\cdot3^{2}= ______

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Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline32⋅32=3^{2}\cdot3^{2}= ______
  1. Identify Bases and Exponents: Identify the bases and the exponents in the expression 32×323^{2}\times3^{2}. In 32×323^{2}\times3^{2}, both bases are 33, and both exponents are 22. Base: 33 Exponent: 22
  2. Apply Exponent Rule for Multiplication: Apply the rule of exponents for multiplying powers with the same base.\newlineWhen multiplying powers with the same base, you add the exponents.\newline323^{2}×\times323^{2} = 32+23^{2+2} = 343^{4}
  3. Calculate 33 raised to the power of 44: Calculate the value of 33 raised to the power of 44. 343^{4} means 33 is multiplied by itself 44 times. 34=3×3×3×33^{4} = 3 \times 3 \times 3 \times 3
  4. Perform Multiplication to Find Value: Perform the multiplication to find the value of 343^{4}. 34=3×3×3×3=9×3×3=27×3=813^{4} = 3 \times 3 \times 3 \times 3 = 9 \times 3 \times 3 = 27 \times 3 = 81

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