Question

(-3x^4 y^(-5))(4x^(-3) y^2)

Answer 1

Simplify\[(-3x ^{4}y ^{-5})(4x ^{-3}y ^{2})\]Is this your question?

Answer 2

yes it is

Answer 3

how do i solve this problem

Answer 4

Do you know your exponent laws?

Answer 5

@jmays14 it's all multiplication. But first do you know the exponent law which states that when you multiply two powers with the same base, you add their exponents?

Answer 6

no i dont could you help me out

Answer 7

Sure. The product law states that when you multiply two powers with the same base, you add their exponents. e.g.\[x ^{a}\times x ^{b}=x ^{a +b}\]Understand?

Answer 8

so im going to multiply 3 and 4

Answer 9

how would i show my work

Answer 10

Step 1: (-3)(4) = ?

Answer 11

-12

Answer 12

Step 2:\[x ^{4}\times x ^{-3}=?\]

Answer 13

7

Answer 14

That's a -3. The feature here makes the exponents 2 and 3 look alike.

Answer 15

No,! Remember you add the exponents. Try again.

Answer 16

2

Answer 17

\[x ^{4}\times x ^{-3}=x ^{4+(-3)}=?\]

Answer 18

No, I told you that its a -3, not a -2. Please pay attention!!!

Answer 19

1

Answer 20

so you mean x, right?

Answer 21

yea

Answer 22

Step 3:\[y ^{-5}\times y ^{2}=?\]This time that exponent is 2.

Answer 23

-7

Answer 24

\[y ^{-5}\times y ^{2}=y ^{-5+2}=?\]

Answer 25

-3

Answer 26

you mean\[y ^{-3}\]right?

Answer 27

yes now how do i put it all together

Answer 28

Now when you multiply the results of all three steps, what do you get?

Answer 29

how do you put it all together

Answer 30

I just told you, multiply the results of all three steps.

Answer 31

i got 12 can you right it out for me so ill kno how to do the next 1

Answer 32

The answer is\[-12xy ^{-3}\]or\[\frac{ -12x }{ y ^{3} }\]
Remember that exponent that looks like a 2, is actually a 3.

Answer 33

Understand?