Question

What will come in the place of the question mark ‘?’ in the following question?

(3² × 3³) × 1¹⁰⁰ × (4²)³ = ?
1. 995328
2. 123213
3. 176588
4. 167444

Answer 1

Correct Answer - Option 1 : 995328

Concept used:

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated

And, a^m × aⁿ = a^{m + n}

(a^m)ⁿ = a^mn

Calculation:
Given expression is:

(3² × 3³) × 1¹⁰⁰ × (4²)³ = ?

⇒ (3⁵) × 1 × (4)⁶

⇒ 995328

∴ The value of ? is 995328