Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (anonymous):

https://i.gyazo.com/8378835c39feec3fec6f647e7cf8b6e2.png help ^

OpenStudy (anonymous):

i think its 16

OpenStudy (anonymous):

because i did 8*2

OpenStudy (owlcoffee):

Why don't we look at it, from the very proof, let's say we have any two numbers with different exponents: \[a^m . a^n\] By definition, they represent a sucession of products so therefore: \[\left[ a.a.a.a.a.a.... (m.factors) \right]\left[ a.a.a.a.a...(n.factors) \right]\] a in multiplied "m" times, and also "n" times, so we can deduce that a is multiplied "m+n" times: \[\left[ a.a.a.a.a.a....(m+n.factors) \right]\] Therefore, by the very definition of exponent: \[a ^{m+n}\] Giving us the conclusion: \[a^m. a^n = a ^{m+n}\]

OpenStudy (anonymous):

so confused

OpenStudy (anonymous):

but ok o.o

OpenStudy (owlcoffee):

This means that if you have: \[4^2 . 4^8 = 4^{2+8}\] I presume you know what 2+8 is.

OpenStudy (jameshorton):

10

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!