Question

What is the value of the expression?

5^-6*5^2
----------
5^-8

A.
5^−20

B.
5^−12

C.
5^4

D.
5^-4

Answer 1

exponent rule \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]
there is negative exponent in the denominator so move that to the top

Answer 2

....

Answer 3

sorry i don't understand dot language.

Answer 4

lol sorry It's just I don't get it :'(

Answer 5

basses are same so just transfer -8 to the top
here is an example \[\large\rm \frac{ 2^3 }{ 2^{-5} } = x^{2\color{red}{+}5}\]

Answer 6

ok

Answer 7

and then apply exponent rule
\[\huge\rm x^m \times x^n = x^{m+n}\]when you multiply same bases you should add their exponents

Answer 8

ok

Answer 9

so what did you get ?

Answer 10

7?

Answer 11

how did you get that ?

Answer 12

2+5

Answer 13

im so wrong! I'm sorry i'm being stupid

Answer 14

i know ...
reread what i said above then try to solve

Answer 15

ill just put d bye

Answer 16

you should familiar with the exponent rules
you can't have the negative exponent there \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]

Answer 17

???

Answer 18

\[\huge\rm \frac{ \color{Red}{5^{-6} \times 5^{2} }}{ 5^{-8}}= \] first look at the numerator
when you multiply same bases you should ADD their exponents \[\large\rm x^m \times x^n = x^{m+n}\]

Answer 19

8?

Answer 20

-6+(2) = 8 ?

Answer 21

-4

Answer 22

yes right \[\huge\rm \frac{ 5^{-4} }{ 5^{-8}}\] now move the -8 exponent to the top
here is an example \[\huge\rm \frac{ x^m }{ x^{n} } = x^{m+(-n)}\]

Answer 23

i divide now?

Answer 24

now you don't divide
bases are the same right 5 is base
and there is negative -8 exponent in the denominator move that to top of the fraction

Answer 25

huh

Answer 26

here is an example \[\huge\rm \frac{ 2^{-3} }{ 2^{-9} } = 2^{-3+(-9)}\]

Answer 27

Add -3 and -9?
-12

Answer 28

that's an example and there is typo wait a sec

Answer 29

oh

Answer 30

here is an example \[\huge\rm \frac{ 2^{-3} }{ 2^{-9} } = 2^{-3-(-9)}\]

Answer 31

oh subtract?

Answer 32

its 6

Answer 33

yes right - times -9 is = positive 9
so -3 +9
now look at ur question \[\huge\rm \frac{ 5^{-4} }{ 5^{-8} }= 5^{???}\]

Answer 34

-12

Answer 35

no remember sign would change

Answer 36

\[\huge\rm \frac{ 5^{-4} }{ 5^{-8} }= 5^{-4-(-8)}\]

Answer 37

6?

Answer 38

how did you get 6 ?? :O

Answer 39

IDK

Answer 40

so why did you say 6 ??
just add the exponent that's it

Answer 41

4

Answer 42

\[\huge\rm \frac{ 5^{-4} }{ 5^{-8} }= 5^{\color{Red}{-4-(-8)}}\]
know how do solve red part(exponents ?

Answer 43

yes right!!

Answer 44

so its c

Answer 45

???

Answer 46

ye...

Answer 47

tysm!!!

Answer 48

YW