## AmberCat21 Group Title how do you multiply scientific notation with unlike terms one year ago one year ago

1. frx Group Title

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

2. AmberCat21 Group Title

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

3. frx Group Title

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

4. AmberCat21 Group Title

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

5. frx Group Title

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

6. frx Group Title

Do you see the pattern?