0 reads0 ratings0 helpful
If (2^2\times3^3\times5^2) divided by (2^a\times3^b\times5^c) gives (3^2\times5), what is ((a,b,c))?
Advertisement
Answer and explanation
Correct answer: ((2,1,1))
Step 1: In division, exponents of the same base are subtracted. Step 2: (2^{2-a}=2^0) gives (a=2), (3^{3-b}=3^2) gives (b=1), and (5^{2-c}=5^1) gives (c=1). Step 3: If a prime is not visible in the result, treat its exponent as (0).
Frequently asked questions
What is the correct answer to this question?
((2,1,1))
Why is this the correct answer?
Step 1: In division, exponents of the same base are subtracted. Step 2: (2^{2-a}=2^0) gives (a=2), (3^{3-b}=3^2) gives (b=1), and (5^{2-c}=5^1) gives (c=1). Step 3: If a prime is not visible in the result, treat its exponent as (0).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement