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If (72=2^a\times3^2), what is the value of (a)?
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Answer and explanation
Correct answer: 3
Step 1: The prime factorisation of 72 is (2^3\times3^2). Step 2: Comparing with the given form, the power of 2 is (a). Step 3: Therefore, (a=3).
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Step 1: The prime factorisation of 72 is (2^3\times3^2). Step 2: Comparing with the given form, the power of 2 is (a). Step 3: Therefore, (a=3).
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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