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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline42⋅42=_____4^2 \cdot 4^2 = \_\_\_\_\_

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Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline42⋅42=_____4^2 \cdot 4^2 = \_\_\_\_\_
  1. Identify operation: Identify 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=4(2+2)=444^2 \times 4^2 = 4^{(2 + 2)} = 4^4
  3. Calculate value: Calculate the value of 444^4.\newlineMultiply 44 by itself four times.\newline44=4×4×4×4=16×4×4=64×4=2564^4 = 4 \times 4 \times 4 \times 4 = 16 \times 4 \times 4 = 64 \times 4 = 256

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