Question

!!!!! MEDALS !!!!!

What is the product in scientific notation?

(3.5 x 10^-5) (3x10^-10)

A. 1.05 x 10^-14
B. 1.05 x 10^-15
C. 1.05 x 10^-13
D. 10.5 x 10^15

Answer 1

first do you know multiplication is commutative
so we can rewrite this as:
\[(3.5 \cdot 3) \times (10^{-5} \cdot 10^{-10})\]

Answer 2

and after that we might have to adjust just a little to finish writing in scientific notation

Answer 3

can you find the products in the ( )

Answer 4

10.5 x ( 10^-5 x 10^-10 ) ? I don't understand ( 10^-5 x 10^-10 ) like how? @freckles

Answer 5

Use exponent rule :D

Answer 6

same base when multiplying means you add the exponents like @science00000 says
\[10.5 \times 10^{-5+(-10)} \]

Answer 7

now we have one more step after this to finish up this problem

Answer 8

\[10^{-5}\times10^{-10}\]

When you're multiplying two exponents with same bases, you can simply add the two exponents. In this case, -5 +(-10) = -15, so the answer to \[10^{-5}\times10^{-10}\] would be \[10^{-15}\]

Answer 9

\[10.5 \text{ can be written as } 1.05 \times 10^1 \\ \text{ so you have } 1.05 \times (10^1 \cdot 10^{-5+(-10)})\]
do you think you finish this up? :)

Answer 10

= 1.05 x 10^14 ?

Answer 11

yes, but 10^-14

Answer 12

Thank you! :) @freckles @science00000

Answer 13

No problem :)