Question

I have a quick question (terms of powers of 10)
if you have 2^90=(2^10)^9=(10^9)^9? is this last part correct or what do I do

Answer 1

I don't believe the last part is consistent with the first two. You changed bases, going from 2 to a 10. The last part (10^9)^9 is a much larger quantity than (2^10)^9

Answer 2

so how do I change this to the power of 10 from the 2nd point?

Answer 3

what more do you want than \(\large 2^{90}=(2^{10})^9\) ?

Answer 4

I don't take it any further?

Answer 5

not as far as I can see

Answer 6

even if I have to change it to a power of 10

Answer 7

you need to change it to base 10 ?
i.e. 10^(something) ?

Answer 8

yes

Answer 9

maybe we can use a change of base log formula somehow...
are you working with logarithms?

Answer 10

exponential functions

Answer 11

This was not made clear in the question, please state what the problem states.

Answer 12

estimate each quantity in terms of powers of ten. A) 2^90 B)4^50

Answer 13

estimate!
that changes everything!

Answer 14

oh sorry

Answer 15

I have \[(2^{10})^{9}\] Then I am not sure what to do

Answer 16

I'm not so good at estimating but from y calculator A. 1.2 10^27 and B. 1.2 10^30

Answer 17

yeah, I know of know method for this either
I used a calculator as well

Answer 18

how did you input this into a calc

Answer 19

http://www.wolframalpha.com/input/?i=2%5E90

Answer 20

I rounded it off to the 1.2 and the calculator gave the power of 10

Answer 21

ok I will do that with the rest
thanks so much

Answer 22

read the part that says "scientific notation" in the link and it gives the power of ten

Answer 23

Use the\[x ^{y}\]key

Answer 24

you're welcome

Answer 25

I found that thanks

Answer 26

For my calculator I would enter 2 then press the x^y key,then press 27, then equal

Answer 27

i have a TI 84

Answer 28

@Danyel, do you have that function on your calculator?

Answer 29

I don't see it

Answer 30

You could use google or Wolfram

Answer 31

I just went in to there wolfram what a cool site I didn't even know it existed thanks a tons

Answer 32

I just used google, you just put 2^90 in the search window and you will get the results. Try it you may like it.

Answer 33

Yes, Wolfram is great, especially for solving quadratics!

Answer 34

I wish I had this earlier this month I really could have used it.

Answer 35

Good luck with your studies.

Answer 36

Thanks for all your help

Answer 37

You're certainly welcome