Should I flip the negative sign? (9^5 / 8^-6) ^-7  TOPIC_SOLVED

Simple patterns, variables, the order of operations, simplification, evaluation, linear equations and graphs, etc.

Should I flip the negative sign? (9^5 / 8^-6) ^-7

Postby Gina on Wed May 27, 2009 5:37 am

Here's where I started:

(9^5 / 8^-6) ^-7

Multiplying each exponent by -7:

(9^5)^-7 = 9^-35

(8^-6)^-7 = 8^42

Gives me this:

9^-35 / 8^42

Should I flip it to this to get rid of the negative exponent ?:

8^42 / 9^35

...or should I leave it as the second example? I feel like I'm missing one last step. :confused:

(I haven't figured out the LaTex formatting yet... :oops: )
Gina
 
Posts: 5
Joined: Wed May 27, 2009 5:20 am

Sponsor

Sponsor
 

  TOPIC_SOLVED

Postby stapel_eliz on Wed May 27, 2009 11:00 am

Gina wrote:Here's where I started:

(9^5 / 8^-6) ^-7

You can flip at this point, to get:

. . . . .

Then you'd move the 8, with its power, down to the other side of the fraction line, and convert its power to a positive value.

Gina wrote:9^-35 / 8^42

Should I flip it to this to get rid of the negative exponent ?

Yup! But flip only the part with the negative power!

. . . . .

:wink:
User avatar
stapel_eliz
 
Posts: 1717
Joined: Mon Dec 08, 2008 4:22 pm

Re: Should I flip the negative sign? (9^5 / 8^-6) ^-7

Postby Gina on Thu May 28, 2009 11:41 pm

That makes things much clearer. :) Thank you for your time and help (and for this site!)
Gina
 
Posts: 5
Joined: Wed May 27, 2009 5:20 am


Return to Pre-Algebra