Question

(4⁻¹)⁻² × 2⁵ × (1 / 16)³ × ( – 8⁻²)⁵ × (64²)³ =

Answer 1

(4⁻¹)² * 2⁵ * (1/16)³ * (8⁻²)⁵ * (64²)³ =

= 4⁻² * 2⁵ * 16⁻³ * 8⁻¹⁰ * 64⁶ =

= (2²)⁻² * 2⁵ * (2⁴)⁻³ * (2³)⁻¹⁰ * (2⁶)⁶ =

= 2⁻⁴ * 2⁵ * 2⁻¹² * 2⁻³⁰ * 2³⁶ =

= 2⁻⁴ ⁺⁵ ⁻¹² ⁻³⁰ ⁺³⁶ = 2⁻⁵ = (1/2)⁵ = 1/32