Simplify the expression with using scientific notation (4 times 10 8)2

y = (4*10^8)^2 Both factors in the brackets are squared.

4^2 = 16

(10^8)^2 = 10^(2*8) = 10^16

y = 16 * 10^16

y = 1.6 * 10^1 * 10^16

y = 1.6 * 10^(1 + 16)

y = 1.6 * 10^(17) <<<<<< Answer I'd use the brackets unless instructed not to.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)