Question

Find the simplified form of the expression. Give your answer in scientific notation.
(3x10^-6)(6x10^-8)

Answer 1

Have you tried it??

Answer 2

I did a little bit but then after a while it got confusing..

Answer 3

\[(3\times10^{-6})(6\times10{^{-8}})\]\[=(3\times6)(10^{-6}\times10{^{-8}})\]\[=(3\times6)(10^{-6-8})\]

Answer 4

note that a number in scientific notation will have only one digit before the decimal place,

Answer 5

okay so um, is this the answer
18x10^-15

Answer 6

no that is not scientific notation because \(18>10\)

Answer 7

you get
\[18\times 10^{-14}=1.8\times 10^{-13}\]

Answer 8

why does the ^-14 turn into ^-13? can you explain how you did that?

Answer 9

\[18\times 10^{-14}\]\[=18\times 10^{-14}\times\frac{10}{10}\]\[=\frac{18}{10}\times 10^{-14+1}\]\[=1.8\times 10^{-13}\]

Answer 10

okay, i think i kind of got it. thank you both!

Answer 11

can one you check my answer to this one.
(9*10^5)(6*10^-7)
(9*6)(10^5^-7)

9*6=54=5.4
10^5^-7=10^-34

so my answer is 5.4x10^-34

Answer 12

\[(9\times10^5)(6\times10^{-7})\]\[=(9\times6)(10^5\times10^{-7})\]\[=(9\times6)(10^{5-7})\]

Answer 13

if you ever get confused about which way to move the decimal if you get number larger than 10
use small numbers as an example
by which i mean, suppose you had \(18\times 10^{-2}=18\times .01=.18\) and you wanted it in scientific notation
you would need \(1.8\times 10^{-1}=.18\) so you see which direction to change the exponent

Answer 14

k, thank you.

Answer 15

(9*10^5)(6*10^?)

Answer 16

i need help with (9*10^5)(6*10^?)