Question

evaluate (0.998)^4 to 4 decimal points

Answer 1

GIVEN (0.998)^4
= (998 / 1000)^4

FORMULA
(a - b)^4 = a^4  - 4a^3b + 6a^2b^2  - 4ab^3 + b^4

EVALUTE
[ (1000 - 2) / 1000] ^4
= (1000 - 4)^4 / (1000)^4
= ( 1000000000000 - 4(2000000000) + 6(4000000) - 32000 + 16) / 1000000000000
= ( 1000000000000 - 8000000000 + 24000000 - 32000 + 16) / 1000000000000
= ( 1000024000016 - 8000032000) / 1000000000000
= (992023968016) / 1000000000000
= 0. 992023968016