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Evaluate. Write your answer as a whole number or as a simplified fraction. 3^(2)*3^(2)= Submit

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

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline32⋅32= 3^{2} \cdot 3^{2}= \newlineSubmit
  1. Identify Property of Exponents: Identify the property of exponents used to multiply powers with the same base.\newlineWhen multiplying powers with the same base, we add the exponents according to the property am⋅an=am+na^{m} \cdot a^{n} = a^{m+n}.
  2. Apply Property to Calculation: Apply the property of exponents to 32⋅323^{2} \cdot 3^{2}.\newlineUsing the property from Step 11, we get 32+2=343^{2+2} = 3^{4}.
  3. Calculate Final Value: Calculate the value of 343^{4}.\newline343^{4} means 3⋅3⋅3⋅33 \cdot 3 \cdot 3 \cdot 3, which equals 8181.

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