Question

How to evaluate -> (5^-4 - 5^-6)/(5^-3 +5^-5)

Answer 1

bet you got the idea now. write it without the negative exponents. then clear the fractions

Answer 2

Okay so:

Answer 3

\[\frac{5^{-4} - 5^{-6}}{5^{-3} +5^{-5}}\] muttiply top and bottom by
\[5^6\]

Answer 4

I got (1/5^4 - 1/5^6)/ (1/5^3 +1/5^5)

Answer 5

wait. How come I have to multiply top and bottom by 5^6?

Answer 6

that will clear the fractions.
\[5^{-4}\times 5^6=5^2\]

Answer 7

if you want you can write this in fraction notation. then you will see that you should multiply top and bottom by
\[5^6\]

Answer 8

i will write it out if you like

Answer 9

please do, thanks

Answer 10

\[\frac{5^{-4}-5^{-6}}{5^{-3}+5^{-5}}\times
\frac{5^6}{5^6}\]

Answer 11

\[\frac{5^2-1}{5^3+5}\] is the second line clear?

Answer 12

pardon?

Answer 13

i added the exponents, and i chose
\[5^6\] so that they would all be positive

Answer 14

okay

Answer 15

because i want to evaluate the numbers, i need the exponents to be positive

Answer 16

mmhm

Answer 17

now i can see what the numbers are. numerator is 25+1=26

Answer 18

denominator is 125+5=130

Answer 19

Isn't the numerator 25-1?

Answer 20

oops yes

Answer 21

Okay, that's great, thanks :) I was making it way more complicated thn it needed to be

Answer 22

i would like to say that was a "typo" but i guess it was a mistake. in any case you have the answer, it is
\[\frac{24}{130}=\frac{12}{65}\]

Answer 23

good!
yw

Answer 24

i like ur pic