Chen Hodges
12/21/2023 · Junior High School

24. \( 4^{\wedge} 3 \times 5^{\wedge} 2 \div 4^{\wedge} 1 \times 2^{\wedge} 3 \div 5^{\wedge} 1 \) sama dengan ... A. \( 4^{\wedge} 2 \times 5^{\wedge} 1 \times 2^{\wedge} 3 \) B. \( 4^{\wedge} 3 \times 5^{\wedge} 2 \times 2^{\wedge} 1 \) C. \( 4^{\wedge} 2 \times 5^{\wedge} 1 \times 2^{\wedge} 1 \) D. \( 4^{\wedge} 2 \times 5^{\wedge} 1 \times 2^{\wedge} 0 \)

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To solve this problem, we need to simplify the given expression step by step. Let's break it down: Given expression: \[ 4^3 \times 5^2 \div 4^1 \times 2^3 \div 5^1 \] First, we can simplify the division of the same base with different exponents by subtracting the exponents: \[ 4^3 \div 4^1 = 4^{3-1} = 4^2 \] \[ 5^2 \div 5^1 = 5^{2-1} = 5^1 \] Now, the expression becomes: \[ 4^2 \times 5^1 \times 2^3 \] Next, we can't simplify the expression any further because the bases are different. So, the simplified expression is: \[ 4^2 \times 5^1 \times 2^3 \] Now let's compare this with the given options: A. \( 4^2 \times 5^1 \times 2^3 \) B. \( 4^3 \times 5^2 \times 2^1 \) C. \( 4^2 \times 5^1 \times 2^1 \) D. \( 4^2 \times 5^1 \times 2^0 \) The correct answer is: A. \( 4^2 \times 5^1 \times 2^3 \)

Quick Answer

A. \( 4^2 \times 5^1 \times 2^3 \)
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