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Simplify to a single power of 2 :

2*2^(2)
Answer: 2^◻

Simplify to a single power of 22 :\newline222 2 \cdot 2^{2} \newlineAnswer: 2 2 ^\square

Full solution

Q. Simplify to a single power of 22 :\newline222 2 \cdot 2^{2} \newlineAnswer: 2 2 ^\square
  1. Identify Base and Exponents: Identify the base and the exponents in the expression.\newlineThe base is 22, and we have two parts: 22 (which can be considered as 212^1) and 222^2.
  2. Apply Product of Powers: Apply the product of powers property for the same base.\newlineAccording to the product of powers property, when multiplying two exponents with the same base, you add the exponents.\newline21×22=2(1+2)2^1 \times 2^2 = 2^{(1+2)}
  3. Perform Exponent Addition: Perform the addition of the exponents. 1+2=31 + 2 = 3
  4. Write Final Answer: Write the final answer as a single power of 22.2(1+2)=232^{(1+2)} = 2^3

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