Question

Let us find out the values: $(\sqrt[5]{8} )^{5/2}\times (16)^{3/2}$

December 7, 2023

Answer

$(\sqrt[5]{8} )^{5/2}$ ×16^3/2

= (8^1/5)^5/2 × (2⁴)^-3/2

= (8)^{1/5 ×}^5/2 × (2)^4×-3/2

= (2³)^1/2 × (2)^-6

= 2^{3 × 1/2} × 2^-6

= $2 ^{\frac{3}{2}-6}$

= $2 ^{\frac{3-12}{2}}$

= $2 ^{\frac{-9}{2}}$

💡 Some Related Questions

Let us find out the values : $4^{1/3}\times [2^{1/3} \times 3^{1/2}] \div 9^{1/4}$

Let us find out the values: $\big\{(125)^{-2} \times (16)^ \frac{-3}{2}\big\}^{ \frac{-1}{6}}$