If (450=2^a \times 3^b \times 5^2), what is the value of (a+b)?
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Answer and explanation
Correct answer: 3
Step 1: Write (450) as (45 \times 10). Step 2: (45=3^2 \times 5) and (10=2 \times 5), so (450=2 \times 3^2 \times 5^2). Thus (a=1, b=2), so (a+b=3). Step 3: Combine like prime factors when finding unknown exponents.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Step 1: Write (450) as (45 \times 10). Step 2: (45=3^2 \times 5) and (10=2 \times 5), so (450=2 \times 3^2 \times 5^2). Thus (a=1, b=2), so (a+b=3). Step 3: Combine like prime factors when finding 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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