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Mathematics 14 Online
OpenStudy (anonymous):

Find the product. (a^2b^3)^4 is it ab^20?

OpenStudy (saifoo.khan):

Nope.

OpenStudy (saifoo.khan):

|dw:1343100860226:dw|Now try.

OpenStudy (anonymous):

Apply powers to both but do not add..

OpenStudy (anonymous):

???

OpenStudy (anonymous):

\[\large (a^2)^4.(b^3)^4\] tell me what do you get??

OpenStudy (anonymous):

ab^96?

OpenStudy (anonymous):

No..

OpenStudy (anonymous):

Do not add the powers of both just multiply and leave them as such on a and b..

OpenStudy (anonymous):

idontgetit

OpenStudy (anonymous):

Tell me: \[(a^2)^4\] find this..

OpenStudy (anonymous):

Just multiply the powers.. Tell me what do you get??

OpenStudy (anonymous):

is that a ^3?? a^12

OpenStudy (anonymous):

4*2 = ???

OpenStudy (anonymous):

8

OpenStudy (anonymous):

So a will have this power.. Now find: \[\large (b^3)^4\]

OpenStudy (anonymous):

ab^20?

OpenStudy (anonymous):

Why are you adding power of both??

OpenStudy (anonymous):

Bases are not same you cannot add them..

OpenStudy (anonymous):

so waht do i do

OpenStudy (anonymous):

Do it slowly.. you got : \(a^8\) Tell me: \(\large (b^3)^4\)

OpenStudy (anonymous):

b^12

OpenStudy (anonymous):

Yes then now combine the terms and do not add 12 with 8.. \( \large a^8 \times b^{12}\)

OpenStudy (anonymous):

a^8b^12

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