Question

Part 1: Explain, using complete sentences, how to simplify the expression below.
Part 2: What is the simplified expression?

(3x^3y^4)^2

Answer 1

first you need to distribute the square to all its children. doing this will free up the outer exponential point. next you use the multiplicative property of exponentials to change the inner components to their final systems.

the result should look like: (18x^12y^16)

Answer 2

is that the answer ?

Answer 3

i dunno, is it?

Answer 4

idk :(

Answer 5

check your work and find out.

Answer 6

it is!!! :D

Answer 7

.........please don't turn that in......

Answer 8

can you just gimme the answer plzzzz ? i dont know how to do itt .
.

Answer 9

well then we are going to learn you how to do it. first, do you know what (x^2)^5 would be?

Answer 10

x^7 ?
or x^10

Answer 11

that would be x^10! you got that one! now how about (x^2 y^3)^4 ?

Answer 12

idk ? :(

Answer 13

that one looks a little trickier, but it's really just the same thing, lets break it up and see if it makes it look simpler:
(x^2)^4 (y^3)^4

any better?

Answer 14

x^8 y^12

Answer 15

yup! good job! so the rule is, when things inside the parenthesis are being multiplied together, you are allowed to put the exponent on each of the different things being multiplied together! now lets look at your original problem: (3x^3y^4)^2
what would that break up into?

Answer 16

x^9 y^8

Answer 17

right! there is just one more part they put in there to trip you up. the 3 at the beginning is also a term. so don't forget that part in your final answer. so you should get:

3^2 x^9 y^8

Answer 18

so for part 1 i should put ??? ___________
and for part 2 i should put 3^2 x^9 y^8

Answer 19

but we know that 3^2 is just (3)(3) so you can simplify to:

9x^6y^8

Answer 20

sorry, the x should be raised to the 6th power not the 9th, i messed up on that, my bad

Answer 21

its fine...

Answer 22

so for part one, just explain how you got your answer, and for part two write your answer and you should be good to go!

Answer 23

so for my answe i should put 9x^6y^8

Answer 24

yup, that would be your answer.

Answer 25

i dont know how to put all of that into simple words

Answer 26

ok, what is your first step? what was the first thing we did when we were looking at the problem?

Answer 27

idk how to put it into words

Answer 28

well, first, you should separate your terms, right? that way you know what you need to multiply

Answer 29

then what do you do after you have everything nice and separated?