if √4 × 43/2 ÷ 4-3 = 2x, the value of

Home » Aptitude » Surds and Indices » Question

if √4 × 4^3/2 ÷ 4^-3 = 2^x, the value of x will be :

1. 16
2. 8
3. 12
4. 4

Correct Option: C

√4 × 4^3/2 ÷ 4^-3 = 2^x

⇒	4^3/2 × 4^3/2	= 2^x
	4^-3

⇒ 4⁶ = 2^x
⇒ ( 2² )⁶ = 2^x ⇒ 2¹² = 2^x ⇒ x = 12
∴ Value of x is 12.