Question

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

  • Laws of Indices
WhatsApp

Answer

(\sqrt[5]{8} )^{5/2}×163/2

= (81/5)5/2 × (24)-3/2

= (8)1/5 × 5/2 × (2)4×-3/2

= (23)1/2 × (2)-6

= 23 × 1/2 × 2-6

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

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

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

Was this answer helpful?

Didn't liked the above answer ?

Text Generation Tool

💡 Some Related Questions