Simplify to a single power of 2 : 2*2^(2) Answer: 2^◻

Identify Base and Exponents: Identify the base and the exponents in the expression. The base is 2, and we have two parts: 2 (which can be considered as 2^1) and 2^2.Apply Product of Powers: Apply the product of powers property for the same base. According to the product of powers property, when multiplying two exponents with the same base, you add the exponents. 2^1 * 2^2 = 2^(1+2)Perform Exponent Addition: Perform the addition of the exponents. 1 + 2 = 3Write Final Answer: Write the final answer as a single power of 2. 2^(1+2) = 2^3

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Simplify to a single power of 2 :

2*2^(2)
Answer: 2^◻

Simplify to a single power of $2$ : $\newline$ $2 \cdot 2^{2}$ $\newline$ Answer: $2 ^\square$

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Grade 7

Multiply and divide integers

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Q. Simplify to a single power of

2

\newline

2 \cdot 2^{2}

\newline

Answer:

2 ^\square

Identify Base and Exponents: Identify the base and the exponents in the expression. $\newline$ The base is $2$ , and we have two parts: $2$ (which can be considered as $2^1$ ) and $2^2$ .
Apply Product of Powers: Apply the product of powers property for the same base. $\newline$ According to the product of powers property, when multiplying two exponents with the same base, you add the exponents. $\newline$ $2^1 \times 2^2 = 2^{(1+2)}$
Perform Exponent Addition: Perform the addition of the exponents. $1 + 2 = 3$
Write Final Answer: Write the final answer as a single power of $2$ . $2^{(1+2)} = 2^3$