anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Nnesha
  • Nnesha
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
anonymous
  • anonymous
....
Nnesha
  • Nnesha
sorry i don't understand dot language.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
lol sorry It's just I don't get it :'(
Nnesha
  • Nnesha
basses are same so just transfer -8 to the top here is an example \[\large\rm \frac{ 2^3 }{ 2^{-5} } = x^{2\color{red}{+}5}\]
anonymous
  • anonymous
ok
Nnesha
  • Nnesha
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
anonymous
  • anonymous
ok
Nnesha
  • Nnesha
so what did you get ?
anonymous
  • anonymous
7?
Nnesha
  • Nnesha
how did you get that ?
anonymous
  • anonymous
2+5
anonymous
  • anonymous
im so wrong! I'm sorry i'm being stupid
Nnesha
  • Nnesha
i know ... reread what i said above then try to solve
anonymous
  • anonymous
ill just put d bye
Nnesha
  • Nnesha
you should familiar with the exponent rules you can't have the negative exponent there \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]
anonymous
  • anonymous
???
Nnesha
  • Nnesha
\[\huge\rm \frac{ \color{Red}{5^{-6} \times 5^{2} }}{ 5^{-8}}= \] first look at the numerator when you multiply same bases you should ADD their exponents \[\large\rm x^m \times x^n = x^{m+n}\]
anonymous
  • anonymous
8?
Nnesha
  • Nnesha
-6+(2) = 8 ?
anonymous
  • anonymous
-4
Nnesha
  • Nnesha
yes right \[\huge\rm \frac{ 5^{-4} }{ 5^{-8}}\] now move the -8 exponent to the top here is an example \[\huge\rm \frac{ x^m }{ x^{n} } = x^{m+(-n)}\]
anonymous
  • anonymous
i divide now?
Nnesha
  • Nnesha
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
anonymous
  • anonymous
huh
Nnesha
  • Nnesha
here is an example \[\huge\rm \frac{ 2^{-3} }{ 2^{-9} } = 2^{-3+(-9)}\]
anonymous
  • anonymous
Add -3 and -9? -12
Nnesha
  • Nnesha
that's an example and there is typo wait a sec
anonymous
  • anonymous
oh
Nnesha
  • Nnesha
here is an example \[\huge\rm \frac{ 2^{-3} }{ 2^{-9} } = 2^{-3-(-9)}\]
anonymous
  • anonymous
oh subtract?
anonymous
  • anonymous
its 6
Nnesha
  • Nnesha
yes right - times -9 is = positive 9 so -3 +9 now look at ur question \[\huge\rm \frac{ 5^{-4} }{ 5^{-8} }= 5^{???}\]
anonymous
  • anonymous
-12
Nnesha
  • Nnesha
no remember sign would change
Nnesha
  • Nnesha
\[\huge\rm \frac{ 5^{-4} }{ 5^{-8} }= 5^{-4-(-8)}\]
anonymous
  • anonymous
6?
Nnesha
  • Nnesha
how did you get 6 ?? :O
anonymous
  • anonymous
IDK
Nnesha
  • Nnesha
so why did you say 6 ?? just add the exponent that's it
anonymous
  • anonymous
4
Nnesha
  • Nnesha
\[\huge\rm \frac{ 5^{-4} }{ 5^{-8} }= 5^{\color{Red}{-4-(-8)}}\] know how do solve red part(exponents ?
Nnesha
  • Nnesha
yes right!!
anonymous
  • anonymous
so its c
anonymous
  • anonymous
???
Nnesha
  • Nnesha
ye...
anonymous
  • anonymous
tysm!!!
Nnesha
  • Nnesha
YW

Looking for something else?

Not the answer you are looking for? Search for more explanations.