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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline42⋅42=4^{2}\cdot4^{2}=

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Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline42⋅42=4^{2}\cdot4^{2}=
  1. Understand operation with exponents: Understand the operation to perform with the exponents.\newlineWhen multiplying powers with the same base, we add the exponents according to the exponent rule am×an=a(m+n)a^m \times a^n = a^{(m + n)}.
  2. Apply exponent rule: Apply the exponent rule to the given expression.\newlineCombine the exponents by adding them together.\newline42×42=42+2=444^{2} \times 4^{2} = 4^{2 + 2} = 4^{4}
  3. Calculate value of 444^4: Calculate the value of 444^4.\newlineMultiply 44 by itself four times.\newline44=4×4×4×4=16×16=2564^4 = 4 \times 4 \times 4 \times 4 = 16 \times 16 = 256

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