Question

If $\sqrt{2^n}=1024$ , then $3^{\left(\frac{n}{4}-4\right)}$ =________

• A. $3$
• B. $-3$
• C. $27$
• D. $81$

Answer 1

The correct option is A $3$

$\sqrt{2^n}=1024$

$\sqrt{2^n}=2^{10}$

Squaring both sides. We get,

$2^n=2^{20}$

$n=20$

$3^{(\frac{n}{4}-4)}=3^{\frac{20}{4}-4}$

$=3^1=3$