Question

Find the solution to the following problem in correct scientific notation:
(3.4 × 10^100) × (2.1 × 10^99)

A. 3.61 × 10^100

B. 2.44 × 10^99

C. 7.14 × 10^199

D. 7.14 × 10^1

E. 7.14 × 10^9,900

Answer 1

Is D the correct answer?

Answer 2

no!! you are wrong

Answer 3

please show your work

Answer 4

@RH

Answer 5

okkk...
first divide:
\[\huge \frac{3.4 × 10^{100}}{2.1 × 10^{99}}\]
so what you get??

Answer 6

Sorry its multiplying not dividing, so \[(3.4 x 10^{100}) x (2.1 x 10^{99})\]

Answer 7

oh!!! yeah!!! sorry..
so first multiply :
\[\huge 3.4 × 10^{100} \times 2.1 × 10^{99}\]
so what you get?

Answer 8

7.14 x 10 (I don't know how to multiply with the 10 ?)

Answer 9

understood?

Answer 10

It's not that difficult :P

\(\Large a^m*a^n = a^{m+n}\)

Answer 11

So C is the correct answer?

Answer 12

\(\huge 3.4*2.1=?\)

Answer 13

7.14

Answer 14

So
\(\LARGE 3.4^{100}*2.1^{99} = 7.14^{100+99}\)

Answer 15

always remember that:
if the 10th power is multiplied by any 10th power then always be added its power like that:
\[\huge 10^5+10^6=10^{5+6}=10^{11}\]
and when 10th power is divided by any 10th power then the power will be subtracted like that:
\[\huge \frac{10^6}{10^5}=10^{6-5}=10^1\]

Answer 16

i hope you got it!! @RH

Answer 17

Yes!!! Thank you very much!

Answer 18

welcome:)

Answer 19

wow i just realize i forgot the 10's :O

\(\LARGE 3.4\underline{*10}^{100}\ * ~~ 2.1\underline{*10}^{99} =
7.14\underline{*10}^{100+99}\)

My apologies if it made it confusing

Answer 20

No problem! Thanks a lot :)