If (108=2^a \times 3^b), what is the value of (a+b)?
Answer and explanation
Correct answer: 5
Step 1: Prime factorise (108). Step 2: (108=4 \times 27=2^2 \times 3^3), so (a=2) and (b=3). Hence (a+b=5). Step 3: Identify both exponents separately first.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Step 1: Prime factorise (108). Step 2: (108=4 \times 27=2^2 \times 3^3), so (a=2) and (b=3). Hence (a+b=5). Step 3: Identify both exponents separately first.
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?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.