Question

The value of [1024] -4/5=?

Answer 1

(1024)^-4/5

=(2^10)^4/5

=2^10× (-4/5)

=2^2×(-4)

=2^-8

=1/2^8

=1/256

here we used (a^m)^n= a^m×n

and a^n = 1/a^n

Answer 2

1/256

see:

1024=2¹⁰

so,(1024)^-⅘

=(2¹⁰)^-4/5

=(2)^10×-4/5 [By formula of (a^m)^n= a^m×n]

=2^-8 [By cancelling out 5 and 10]

=1/(2^8) [By the Formula of a^-n=1/a^n]

=1/2×2×2×2×2×2×2×2

=1/256.....

Hope this helped you Friend!!!!