Question

(1/2)⁴ x (1/2)⁵ x (1/2)⁶ (Simplify)

Answer 1

1/16 × 1/32 × 1/64
1/32768

Answer 2

We know :- [ mⁿ × mˣ = m⁽ⁿ⁺ˣ⁾ ]

NOW,

(1/2)⁴ x (1/2)⁵ x (1/2)⁶

So, there is a common base (1/2) thus power should be add,

= (1/2)⁴⁺⁵ × (1/2)⁶

= (1/2)⁹ × (1/2)⁶

= (1/2)⁹⁺⁶

= (1/2)¹⁵

HENCE, (1/2)⁴ x (1/2)⁵ x (1/2)⁶ = 2⁻¹⁵