Question

Approximate value of $\frac{16}{(0.98{)}^4}$

• A. $4.54$
• B. $17.28$
• C. $17.4$
• D. $8.1$

Answer 1

The correct option is B $17.28$

The approximate value of ${(1+x)}^n$ for $x<1$ is $1+nx$

For $16{(1-0.02)}^{-4}$ as $0.02<1$

Hence, the approximate value is

$16(1+4\times 0.02)$ $=$ $16\times \left(1.08\right)$ $=$ $17.28$