Question

Can someone please help me simplify this problem? (5x^3y)^2(-2x^5y^1)

Answer 1

\[(5x^{3y})^2\cdot (-2x^{5y})\] Is this it?

Answer 2

Or is it: \((5x^3y)^2\cdot (-2x^5y^1)\)

Answer 3

It's the bottom one! :)

Answer 4

Second one

Answer 5

@Jhannybean

Answer 6

First, distribute the square to both variables in your first function.\[(5)^2(x^3)^2(y)^2 \cdot (-2x^5y^1)\]

Answer 7

What do you get on the left side?

Answer 8

25x^9y^2?

Answer 9

\[25x ^{9}-y ^{2}?\]

Answer 10

Sorry positive y

Answer 11

@Jhannybean

Answer 12

Almost. Try again. \((x^3)^2 = x^{3\cdot 2}\)

Answer 13

x\[x^6?\]

Answer 14

@Jhannybean

Answer 15

\[25x ^{6}+y ^{2}\]

Answer 16

?

Answer 17

Yes :) So you get. \(25x^6y^2 \cdot (-2x^5y^1)\) Now the next step.

Answer 18

:-/ :(

Answer 19

Oh umm think i got it!

Answer 20

=D

Answer 21

Stay with me here. Now we have to group our like-terms.

Answer 22

Would u multiply?

Answer 23

=D

Answer 24

\[(25 \cdot (-2))(x^6\cdot x^5)(y^2\cdot y^1)\]\[=-50x^{6+5}y^{2+1}\]
Simplify the powers and you're done!

Answer 25

So It'd be -50x^11+ y^3 ?

Answer 26

Yes :)

Answer 27

Omg!!!

Answer 28

Wait, no.

Answer 29

there is no addition involved here, all the variables are simply being multiplied.

Answer 30

Huh?

Answer 31

:(

Answer 32

hollandlife Best Response Medals 0
So It'd be -50x^11+ y^3 ?
2 minutes ago

There is no addition beween x^11 and y^3.

It is simply -50x^11y^3

Answer 33

The only things that were added were the exponents, and that is because you had two like terms (i.e to x's) multiplying eachother with different powers.

Answer 34

Do you understand?