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Inbox (1,150) - juli Prepárate para tu US Travel Require CheckMig-Realiza Copa Airlines quad ×quad5 boardingPass (1). Login | Common A Radicals and ratio Bytelearn khanacademy.org/test-prep/v2-sat-math/x0fcc98a58ba3bea7:advanced-math-easier/x0fcc98a58ba3bea7:radicals-and-rational-exponents-easier/e/v2-radicals-and-rational-exponents-1 Sy szåw Radicals and rational exponents: foundations Google Classroom นٌ: Microsoft Teams 2^(203)+2^(204) Which of the following values is equal to the value? Choose 1 answer: (A) 2^(407) (B) 3(2^(203)) (c) 3(2^(204)) (D) 2^(202)+2^(205) " Show calculator "_ Report a problem

Which of the following values is equal to the value?\newlineChoose 11 answer:\newline(A) 2407 2^{407} \newline(B) 3(2203) 3\left(2^{203}\right) \newline(C) 3(2204) 3\left(2^{204}\right) \newline(D) 2202+2205 2^{202}+2^{205}

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Q. Which of the following values is equal to the value?\newlineChoose 11 answer:\newline(A) 2407 2^{407} \newline(B) 3(2203) 3\left(2^{203}\right) \newline(C) 3(2204) 3\left(2^{204}\right) \newline(D) 2202+2205 2^{202}+2^{205}
  1. Reasoning: Simplify Expression: Reasoning: We need to simplify the expression 2203+22042^{203} + 2^{204}. Calculation: Factor out the common term 22032^{203}. 2203+2204=2203imes(1+2)2^{203} + 2^{204} = 2^{203} imes (1 + 2)
  2. Calculation: Factor Out Common Term: Reasoning: Simplify the expression inside the parentheses.\newlineCalculation: 1+2=31 + 2 = 3\newline2203∗32^{203} * 3
  3. Reasoning: Simplify Inside Parentheses: Reasoning: Compare the simplified expression with the given choices. Calculation: 2203×3=3×22032^{203} \times 3 = 3 \times 2^{203}
  4. Calculation: Simplify Inside Parentheses: Reasoning: Identify the correct choice from the options. Calculation: The correct choice is (B) 3(2203)3(2^{203}).

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