Question

If $2p^{\frac{3}{2}}=54$. Find the value of $p.$

• A. $3$
• B. $9$
• C. $8$
• D. $27$

Answer 1

Answer: (B)

$9$

Solution:- (B) 9

$2p^{\frac{3}{2}}=54$

$\Rightarrow p^{\frac{3}{2}}=27$

$\Rightarrow p={27}^{\frac{2}{3}}$

$\Rightarrow p=3^2$

$\Rightarrow p=9$

Hence, the correct answer is 9.