Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (sissyedgar):

Question in Comment! Thankiez!

OpenStudy (sissyedgar):

@TheSmartOne

TheSmartOne (thesmartone):

First use the formula: \(\sf\Large (a^b)^c = a^{bc}\)

OpenStudy (sissyedgar):

mhm?

TheSmartOne (thesmartone):

so \(\sf\Large (2^2)^5 = 2^{2\times5} = 2^{??}\)

OpenStudy (sissyedgar):

10

TheSmartOne (thesmartone):

and now we use this formula: \(\sf\Large \frac{a^b}{a^c}=a^{b-c}\)

OpenStudy (sissyedgar):

ok, and what is that with the numbers from the equation?

TheSmartOne (thesmartone):

\(\sf\Large \frac{2^{10}}{2^{16}}=a^{10-16}=2^{??}\)

OpenStudy (sissyedgar):

6

OpenStudy (sissyedgar):

-6*

TheSmartOne (thesmartone):

and now we use this formula: \(\sf\Large a^{-b} = \frac{1}{a^b}\) so what is \(\sf\Large 2^{-6} = ?\) which answer choice? :P

TheSmartOne (thesmartone):

@sissyedgar :P

OpenStudy (sissyedgar):

D.

TheSmartOne (thesmartone):

nope, look at the last formula I gave you :P

OpenStudy (sissyedgar):

riiiight... A

TheSmartOne (thesmartone):

and that's your answer :)

OpenStudy (sissyedgar):

thx!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!