how do you multiply scientific notation with unlike terms

Question

anonymous · Answer

Just multiply the first term of the notation like; $$(2.5*10^6) * 5 = 1.25*10^7$$
When the first term gets over 10 you add on 10 to the exponent

anonymous · Answer

what it if it is like this: 4.2x10^2 x 2.3x10^-3? What would the exponent be? positive or negative?

anonymous · Answer

Using the exponent rules, $$x^a \times x^b = x ^{a+b}$$

So the answer is $$(4.2*2.3) * 10 ^{2+(-3)} = 9.88*10^{-1}$$

anonymous · Answer

are u still going to abide to the laws of exponents?

anonymous · Answer

When using scientific notation the laws of exponents are crucial. 
Some examples:
$$(2 * 10 ^2)*2  = (2*2) * 10^2 $$
$$(4*10^5)* 10^4 = 4 *(10^5*10^4) = 4* 10^{5+4} = 4 * 10^9$$

anonymous · Answer

Do you see the pattern?