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. \( 4^{\wedge} 2 \times 5^{\wedge} 1 \times 2^{\wedge} 0 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
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. \( 4^2 \times 5^1 \times 2^3 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit