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If (2^a \times 3^2=72), what is the value of (a)?
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Answer and explanation
Correct answer: (3)
Step 1: Prime factorise (72). Step 2: (72=8 \times 9=2^3 \times 3^2), so (a=3). Step 3: To find an unknown exponent, compare prime factorisations on both sides.
Frequently asked questions
What is the correct answer to this question?
(3)
Why is this the correct answer?
Step 1: Prime factorise (72). Step 2: (72=8 \times 9=2^3 \times 3^2), so (a=3). Step 3: To find an unknown exponent, compare prime factorisations on both sides.
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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