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Mathematics 21 Online
OpenStudy (anonymous):

What is the missing exponent?

OpenStudy (anonymous):

OpenStudy (anonymous):

i need help please

OpenStudy (anonymous):

@camzzzie

OpenStudy (alexandervonhumboldt2):

\[(a^b)^c=a^{bc}\] \[\frac{ a^b }{ a^c }=a^{b-c}\] use thse properties

OpenStudy (anonymous):

i just need the answer i have 3 mins left

OpenStudy (alexandervonhumboldt2):

we can't give out answers.

OpenStudy (anonymous):

please i need to pass this

OpenStudy (alexandervonhumboldt2):

first lets count (8^-7)^2=8^{-7*2}=8^-14 now can you simplify \[\frac{ 8^{-5} }{ 8^{-14} }\] using the rule i gave above?

OpenStudy (anonymous):

i dont know how to do this

OpenStudy (alexandervonhumboldt2):

use rule \[\frac{ a^b }{ a^c }=a^{b-c}\]

OpenStudy (anonymous):

what does that mean

OpenStudy (alexandervonhumboldt2):

this is the rule

OpenStudy (alexandervonhumboldt2):

in your case a=8, b=-5 and c=-14

OpenStudy (alexandervonhumboldt2):

substitute this and solve

OpenStudy (anonymous):

what do u mean by substitute

OpenStudy (alexandervonhumboldt2):

susbtiteu a, b, and c into the rule i gave and solve

OpenStudy (anonymous):

i dont know how to do that

OpenStudy (alexandervonhumboldt2):

\[\frac{ 8^{-5} }{ 8^{-14} }=8^{-5+14}=?????????\]

OpenStudy (anonymous):

o ok sorry

OpenStudy (alexandervonhumboldt2):

simplify what i wrote

OpenStudy (anonymous):

i got 14 1/32768

OpenStudy (alexandervonhumboldt2):

no

OpenStudy (alexandervonhumboldt2):

can you add -5+14=????

OpenStudy (alexandervonhumboldt2):

calculaors will not help you at all

OpenStudy (anonymous):

9

OpenStudy (alexandervonhumboldt2):

yes

OpenStudy (alexandervonhumboldt2):

thus your exponents is 9 \[8^9\]

OpenStudy (anonymous):

so the answer is 8 9

OpenStudy (alexandervonhumboldt2):

no , it is 9

OpenStudy (anonymous):

thank u i will tell u if u are right

OpenStudy (anonymous):

yah u where right thankkkkkkk u so much @AlexandervonHumboldt2

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