Question

What will come in place of question mark (?) in the following question?

$(1.69{)}^4÷(2197÷1000{)}^3\times (0.13\times 10{)}^3=(1.3{)}^{?-2}$

• A. 6
• B. 2
• C. 4
• D. -2
• E. None of these

Answer 1

The correct option is C

4

$(1.69{)}^4÷(2197÷1000{)}^3\times (0.13\times 10{)}^3=(1.3{)}^{?-2}$
$(1.69{)}^4÷(2.197{)}^3\times (1.3{)}^3=(1.3{)}^{?-2}$
$\frac{(1.69{)}^4\times (1.3{)}^3}{(2.197{)}^3}=(1.3{)}^{?-2}$
$\frac{1.69\times 1.69\times 1.69\times 1.69\times 1.3\times 1.3\times 1.3\times 1.3}{2.197\times 2.197\times 2.197}$ $=(1.3{)}^{?-2}$
$\frac{1.69\times 1.69\times 1.69\times 1.69\times 1.3\times 1.3\times 1.3\times 1.3}{1.69\times 1.3\times 1.39\times 1.3\times 1.69\times 1.3}$ $=(1.3{)}^{?-2}$
$1.69=(1.3{)}^{?-2}$
$(1.3{)}^2=(1.3{)}^{?-2}$
$?=4$