Calculate the value of 7^2 × 2^1 ÷ 7^1 + 3^2.

Calculate the value of $7^{2} \times 2^{1} \div 7^{1} + 3^{2}$ .

hard MCQ 4 marks Class 6 · Mathematics · Playing with Numbers

Answer

The correct answer is 23 — Hence the value of the expression is $23$ .

Compute the powers: $7^{2} = 49$ , $2^{1} = 2$ , $7^{1} = 7$ , and $3^{2} = 9$ .
Perform multiplication: $49 \times 2 = 98$ .
Divide: $98 \div 7 = 14$ .
Add the remaining term: $14 + 9 = 23$ .
Hence the value of the expression is $23$ .

Common mistake: Dividing before multiplying or miscomputing exponents, e.g., treating

7^{2} \times 2^{1}

(7 \times 2)^{1}

Concept tested: Exponent rules and order of operations