Question

Find the simplified form of the expression. Give your answer in scientific notation.

https://lh3.ggpht.com/xsJkaNpoAg_LcFJ1dGu_WxynnwxGdMm59tXHxPOcXd4aJCqrdNJaN-GTytZ0j5KXHdxFKw=s126

Answer 1

You add exponents
(3)(6)(10^-6)(10^-8)
(3)(6)(10^(-6 + (-8))
18*10^(-14)
1.8*10^(-13)

Answer 2

Note you can only add exponents when they have the same base

so for example

10^4(10^2) = 10^(4 + 2) = 10^6
3^2(3^2) = 3^(2+2) = 3^4
2^(-2)2^(2) = 2^((-2)+2) = 2^0 = 1

you cannot add the exponents in this cases like this:
10^4(3^2)
22^3(3^4)

Answer 3

with variables it is the same

x(x^2) = x^(1+2) = x^3

Answer 4

(x)yx^2 = yx^(2+1) = yx^3

but yeah im done with examples now

Answer 5

Thanks this was really helpful :)