Question

Explain why (√10)^3d is equivalent to (10^d)^3/2

Answer 1

(√10)^3d

A law in indices.. √a = a^1/2

(10)^3d/2

(10)^3/2 × d

(10)^d×3/2

A law in indices also..

(a²)² = (a) ²*²

Therefore:-

(10)^d×3/2 will eventually give..

(10^d)^3/2... As required....

Hope this helped...