Question

With the restriction x ≠ 0, Which of the following is the simplified form of

Answer 1

\[\frac{ 6x^{4} }{ 4x^{9} } \times \frac{ 12x^{2} }{ 3x^{5} } = \frac{(6)(12)x^{4}x^{2} }{ (4)(3)x^{9}x^{5} } = \frac{ 72x^{6} }{ 12x^{14} }\]

Answer 2

can that be simplified again?

Answer 3

yes :)

Answer 4

I wanted to post it before I messed up the equation editor stuff ;)

Answer 5

Do you see the idea though? You can also cancel out terms before you multiply everything together... that's another good approach.

Answer 6

would the answer be 6x^2?

Answer 7

The "6" part is correct, but you didn't simplify the x's correctly.

Answer 8

You simplify exponents like:
\[\frac{ x^{6} }{ x^{14} } = \frac{ 1 }{ x^{8} }\]

Answer 9

x^8?

Answer 10

yes, but it's in the denominator.

72 / x^8

Answer 11

Is that one of your choices?

Another way to write the same thing is to put the variable in the numerator but express the exponent as a negative.

Like: 72x^(-8)\[\frac{ 72 }{ x^{8} } = 72x^{-8}\]

Answer 12

oops, that should have been "12" everywhere I wrote "72"

Answer 13

no. the closest to that is 6/x^8

Answer 14

sorry sorry sorry.

You're right :) Too much scrolling up and down.

That is correct.

Answer 15

thanks!!!

Answer 16

the 72 and 12 reduce to give you the 6, and x^6 / x^14 reduces to 1/x^8

All together, it's 6 / x^8