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
›
If a^3 * b^2 = 64 and a = 2, what is the value of b? (2023)
If a^3 * b^2 = 64 and a = 2, what is the value of b? (2023)
Expand All
Collapse All
Practice Questions
1 question
Q1
If a^3 * b^2 = 64 and a = 2, what is the value of b? (2023)
4
8
16
2
Show Solution
Copy
Substituting a = 2, we have 2^3 * b^2 = 64, which simplifies to 8b^2 = 64. Thus, b^2 = 8, leading to b = 4.
Questions & Step-by-step Solutions
1 item
Q
Q: If a^3 * b^2 = 64 and a = 2, what is the value of b? (2023)
Solution:
Substituting a = 2, we have 2^3 * b^2 = 64, which simplifies to 8b^2 = 64. Thus, b^2 = 8, leading to b = 4.
Steps: 7
Show Steps
Step 1: Start with the equation a^3 * b^2 = 64.
Step 2: Substitute the value of a, which is 2, into the equation. This gives us 2^3 * b^2 = 64.
Step 3: Calculate 2^3. This equals 8, so now we have 8 * b^2 = 64.
Step 4: To isolate b^2, divide both sides of the equation by 8. This gives us b^2 = 64 / 8.
Step 5: Calculate 64 / 8. This equals 8, so now we have b^2 = 8.
Step 6: To find b, take the square root of both sides. This gives us b = √8.
Step 7: Simplify √8. This can be written as 2√2, but for the purpose of this problem, we can also find the approximate value, which is about 2.83.
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
Which of the following best summarizes the main argument of the passage?
Question: Which of the following best summarizes the main argument of the passage?Options: Verbal ab..
W
What does the author imply about the preparation strategies for the CAT exam?
Question: What does the author imply about the preparation strategies for the CAT exam?Options: They..
I
If 10^(x) = 1000, what is the value of x? (2023)
Question: If 10^(x) = 1000, what is the value of x? (2023)Options: 2341Correct Answer: 3Exam Year: 2..
‹
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
✕
↑
