Question

729power of -4 power of 2

Answer 1

Answer:

(729^-4)^2 = 728^-8 = 3^-48.

Step-by-step explanation:

$((729)^{ - 4})^{2} = \: 729^{( - 4 \times 2)} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 729^{ - 8}$

Exponential form:

(a^m)^n = a^m×n = a^mn.

729 = 3×3×3×3×3×3

= 3^6.

were,

= (3^6)^-8

= 3^-48.

(729^-4)^2 = 728^-8 = 3^-48.