Question

Simplify and express the result in the form of negative exponent.

Answer 1

here i have done full some step by step

Answer 2

Here,

(1/4)^-2 × (1/2)^-3 × (8)⁴

we know,
x^ -m = 1/x^m
use this here,

(1/4)^-2 = 1/(1/4)² = (4)² = 16
(1/2)^-3 = 1/(1/2)³ = (2)³ = 8

now,

= 16 × 8 × (8)⁴

= 8 × 2 × 8 × (8)⁴

= (8)^6 × 2

= 2 × (2³)^6

= 2 × (2)^18

= 2^ 19
hence, answer is 2^19 or 524288

and in the negative form is (1/2)^-19