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If (252=2^a \times 3^b \times 7), what is the value of (a+b)?
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Answer and explanation
Correct answer: 4
Step 1: Write (252) as (4 \times 63). Step 2: (4=2^2) and (63=3^2 \times 7), so (a=2) and (b=2). Hence (a+b=4). Step 3: Match prime bases to identify unknown exponents.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Step 1: Write (252) as (4 \times 63). Step 2: (4=2^2) and (63=3^2 \times 7), so (a=2) and (b=2). Hence (a+b=4). Step 3: Match prime bases to identify unknown exponents.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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