NIELIT 2022 Feb Scientist D - Section D: 13

Question

If $(0.0256) \div 0.064 \times (0.4)^{8} = (0.4)^{x} \times 0.16,$ the value of $x$ is :

• A. $5$
• B. $6$
• C. $7$
• D. $4$

Answer 1

Givne that : $0.0256\div 0.064\times(0.4)^8=(0.4)^x\times0.16$

$\implies 0.4\times (0.4)^8=(0.4)^x\times (0.4)^2$

$\implies (0.4)^9=(0.4)^x+2$

$\implies 9=x+2\implies x=7$

Option (C) is correct.