Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
What is the result of simplifying the expression 2^(3x) * 2^(2x) / 2^(4x)?
What is the result of simplifying the expression 2^(3x) * 2^(2x) / 2^(4x)?
Expand All
Collapse All
Practice Questions
1 question
Q1
What is the result of simplifying the expression 2^(3x) * 2^(2x) / 2^(4x)?
2^(x)
2^(x-1)
2^(0)
2^(5x)
Show Solution
Copy
Using the properties of exponents, we combine the exponents: (3x + 2x - 4x) = x, thus the result is 2^x.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the result of simplifying the expression 2^(3x) * 2^(2x) / 2^(4x)?
Solution:
Using the properties of exponents, we combine the exponents: (3x + 2x - 4x) = x, thus the result is 2^x.
Steps: 6
Show Steps
Step 1: Identify the expression to simplify: 2^(3x) * 2^(2x) / 2^(4x).
Step 2: Use the property of exponents that states a^m * a^n = a^(m+n) to combine the first two terms: 2^(3x) * 2^(2x) becomes 2^(3x + 2x).
Step 3: Calculate the sum of the exponents: 3x + 2x = 5x, so now we have 2^(5x) / 2^(4x).
Step 4: Use the property of exponents that states a^m / a^n = a^(m-n) to simplify: 2^(5x) / 2^(4x) becomes 2^(5x - 4x).
Step 5: Calculate the difference of the exponents: 5x - 4x = x, so we have 2^x.
Step 6: The final simplified result is 2^x.
Related Questions
W
Which sentence would best fit in the blank space in the following paragraph? 'Wh
Question: Which sentence would best fit in the blank space in the following paragraph? \'While socia..
I
If 10^(x+2) = 1000, what is the value of x? (2023)
Question: If 10^(x+2) = 1000, what is the value of x? (2023)Options: 1230Correct Answer: 1Exam Year:..
W
What can be inferred about the author's attitude towards social media?
Question: What can be inferred about the author\'s attitude towards social media?Options: The author..
W
What is the author's main argument regarding the future of social media?
Question: What is the author\'s main argument regarding the future of social media?Options: It will ..
W
Which of the following words best captures the essence of the author's perspecti
Question: Which of the following words best captures the essence of the author\'s perspective on soc..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
