Question

simplify 6n^6/3n^4 help please !!!!!

Answer 1

the coefficients are 6 and 3

you divide them to get 6/3 = 2

Answer 2

the variable expressions are: n^6 and n^4

you divide them by subtracting the exponents: 6 - 4 = 2

the final exponent is 2

Answer 3

which means that

6n^6/3n^4 = 2n^2

Answer 4

thank you so so much you are very nice C:

Answer 5

you're welcome

Answer 6

hey can you help me with another one ?
@jim_thompson5910

Answer 7

sure one more

Answer 8

\[[6x ^{2}y ^{4}/3x ^{4}y ^{3} ]^{3}\]

Answer 9

help please c; @jim_thompson5910

Answer 10

first i would simplify the stuff on the inside of the brackets

Answer 11

so using what I showed you above, what do you get?

Answer 12

2x^-2

Answer 13

close, but you're forgetting about the y term

Answer 14

y^4/y^3 = ???

Answer 15

idk the answer to that

Answer 16

subtract the exponents

Answer 17

1.3?

Answer 18

the exponents are 4 and 3, you subtract them to get 4-3 = 1

Answer 19

so that means y^4/y^3 = y^1 = y

make sense?

Answer 20

oh ok i got it

Answer 21

so this means that

\[\large \left[\frac{6x ^{2}y ^{4}}{3x ^{4}y ^{3}} \right]^{3}\]

turns into

\[\large \left[2x^{-2}y \right]^{3}\]

Answer 22

what's next?

Answer 23

multiply them all by 3?

Answer 24

close, very close

Answer 25

you raise each term to the 3rd power

Answer 26

you do that to the following terms: \(\large 2\), \(\large x^{-2}\), and \(\large y\)

Answer 27

so what would be the answer ?

Answer 28

$$2^3*(x^{-2})^3*y^3$$

Answer 29

what do you get when you raise 2 to the 3rd power?

Answer 30

8

Answer 31

Yes.

Answer 32

what happens when you raise \(\large x^{-2}\) to the 3rd power

Answer 33

would it be 2n^2

Answer 34

$$b^n=b*b*b*...*b$$n factors
the base is b and the exponent is n

Answer 35

$$(x^{-2})^3=x^{-2}*x^{-2}*x^{-2}$$

Answer 36

would it be 2n^2

Answer 37

No.

Answer 38

2n^10 ?

Answer 39

No, try and use the definition I posed above.

Answer 40

n^2/2

Answer 41

No,recall when you multiply two powers having the same base you add the exponents.

Answer 42

n^2

Answer 43

or you could multiply exponents

Answer 44

(n^-2)^3 = n^(-2*3) = ??

Answer 45

so it would be n^2