Try to guess this one (2*10^-3) * (3*10^4)

so basically we only use the associative property of multiplication and one of the laws of exponents

associative=a (bc) = (ab) c

also law of exponent=a^x times a^y=a^ (x+y) so

(2 times 10^-3) times (3 times 10^4)

associative

2 times 10^-3 times 3 times 10^4

2 times 3 times 10^-3 times 10^4

law of exponents

10^-3 times 10^4=10^ (-3+4) = 10^1

2 times 3=6

the answer is 6 times 10^1 or (6*10^1) aka 60