Question

simplify the expression
(x^3y^4 over x^-3y^7)^-2
A. y^3 over x^7
B. x^3 over y
C. y^6 over x^10
D. x^-6 over y^-5
Please help

Answer 1

\[(\frac{x^3y^4}{x ^{-3}y^7})^{-2}\]

Answer 2

Simplify inside the parentheses first.

Answer 3

not good at this :(

Answer 4

When dividing, subtract the exponents.

Answer 5

x^3?

Answer 6

\[\frac{x^3}{x ^{-3}}=x ^{3-(-3)}=???\]

Answer 7

Sorry for the typo.

Answer 8

What is 3-(-3) ?

Answer 9

6

Answer 10

\[\frac{x^3}{x ^{-3}}=\]

Answer 11

x^6?

Answer 12

Good job. Now what about this:

Answer 13

\[\frac{y^4}{y^7}=y ^{4-7}=\]

Answer 14

y^11

Answer 15

What is 4-7?

Answer 16

-3

Answer 17

You have 4 dollars and you spend 7 dollars

Answer 18

sorry

Answer 19

So what is this:

Answer 20

\[\frac{y^4}{y^7}\]

Answer 21

y^3

Answer 22

I thought you just said that 4-7 is -3 and now you are saying it is 3. Which is it?

Answer 23

-3

Answer 24

lmaoooo

Answer 25

\[\frac{x^3y^4}{x ^{-3}y^7}=\frac{x^3}{x ^{-3}}\times\frac{y^4}{y^7}=x ^{3-(-3)}\times y ^{4-7}=x^6y ^{-3}\]

Answer 26

thts not a option

Answer 27

But remember...that fraction was supposed to be raised to the power of -2.

Answer 28

So we have:
\[(x^6y ^{-3})^{-2}\]

Answer 29

When you raise to a power, you multiply the exponents. So what do you get when you do that?

Answer 30

idk :(

Answer 31

Then I guess you need to figure out how to multiply integers.

Answer 32

.-.

Answer 33

I'll give you some practice examples:

1. (6)(3)
2. (-6)(3)
3. (6)(-3)
4. (-6)(-3)