If m = 3^2 × 7, what is the value of m?
Answer and explanation
Correct answer: 63
The governing concept is evaluation of a numerical expression using the order of operations and powers. In m = 3^2 × 7, the exponent 2 means that 3 is multiplied by itself: 3^2 = 3 × 3 = 9. The remaining multiplication is then performed: m = 9 × 7 = 63. Therefore, option A is correct. Option B, 42, would result from an incorrect treatment of the expression, while 72 and 84 do not equal the calculated product. The prime factors 3 and 7 are also consistent with 63 = 3^2 × 7, so the factorised form and the numerical value agree.
Frequently asked questions
What is the correct answer to this question?
63
Why is this the correct answer?
The governing concept is evaluation of a numerical expression using the order of operations and powers. In m = 3^2 × 7, the exponent 2 means that 3 is multiplied by itself: 3^2 = 3 × 3 = 9. The remaining multiplication is then performed: m = 9 × 7 = 63. Therefore, option A is correct. Option B, 42, would result from an incorrect treatment of the expression, while 72 and 84 do not equal the calculated product. The prime factors 3 and 7 are also consistent with 63 = 3^2 × 7, so the factorised form and the numerical value agree.
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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