Simplify the expression below. (3x^5/y^2)^4
A.
http://media.education2020.com/EVresources/2003-02-04-00-00_vl_files/i0040001.jpg
B.
http://media.education2020.com/EVresources/2003-02-04-00-00_vl_files/i0040001.jpg
C.
http://media.education2020.com/EVresources/2003-02-04-00-00_vl_files/i0040003.jpg
D.
http://media.education2020.com/EVresources/2003-02-04-00-00_vl_files/i0040004.jpg

Question

anonymous · Answer

@nopen

anonymous · Answer

click the links for pics of choices

anonymous · Answer

$$(a ^{2})^{4}$$

in case like this

whatever the little number you see outside the bracket (or the exponent to be more precise) multiplies itself with the other little number inside the bracket

now try to think what happens in this fraction?

anonymous · Answer

2 inside the bracket multiplies itself with the 4 outside the bracket so it will be:

$$a ^{8}$$

anonymous · Answer

what if its in fraction form with two exponents?

anonymous · Answer

think of it seperatly

anonymous · Answer

multiply by both?

anonymous · Answer

$$(3x ^{5})^{4}$$

this basically means

that the 3 has a exponent of 4 which looks like this:

$$3^{4}$$

and the x has a exponent like this:

$$x ^{5*4}$$

where the 5 and the 4 are multiplying wit itself

anonymous · Answer

now what do you think you will get?

anonymous · Answer

http://media.education2020.com/EVresources/2003-02-04-00-00_vl_files/i0040000.jpg click the link and youll see what im talkin about

anonymous · Answer

yeah I know, this is exactly the same thing you posted in your question.
do you at least have a calculator?

anonymous · Answer

on the computer

anonymous · Answer

okay 
 
what do you get if you multiply 3 with itself 4 times?

anonymous · Answer

$$3^{4}$$

anonymous · Answer

81

anonymous · Answer

correct 

Now what did I say, that you have to do with the little number outside the bracket and inside the bracket?

$$(x ^{5})^{4}$$

anonymous · Answer

multiply

anonymous · Answer

but my question on that is do i multily both exponents inside the brackets?

anonymous · Answer

no that 5 that you see for that x 

$$3x ^{5}$$

is ONLY meant for the x 

it has nothing to do with the 3

anonymous · Answer

the exponents of both 5 and 2 in the picture do i multiply BOTH by 4?

anonymous · Answer

now when you out the bracket over them and put a number outside them like the 4 in this case it means this 4 is for both of them (both the 3 and the x)

$$(3x ^{5})^{4}$$

and yes the exponents of both 5 and 2 both in the picture should be multipled by 4

anonymous · Answer

ok problem solved i love asking questions