Question

Simplify each expression leaving only positive exponents. (I'm still not sure how to do these)
(-2c^-2)(ac^3)(-4a^-4c)

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

(2x^-5 y^3)^2/(4x^-3 y)^0

3^-1 x^2 y^-4/2^-2x^5 y^3

Answer 1

\[(-2)c^{-2}ac^{-3}(-4)a^{-4}c \]
in general
\[X^aX^b= X^{a+b}\]
so \[c^{-2}c^{-3}c^{1} = c^{-2-3+1}=c^{-4}\]
so you have
\[+8 c^{-4} a^{1}a^{-4}\]
can you finish?

Answer 2

Do you have to combine a^1 with a^-4?

Answer 3

yes :)

Answer 4

And then I will get the answer for that one?

Answer 5

Almost! remember it says only positive exponents.
so if you get
\[a^{-100}\] that would be wrong.
Remember though
\[X^{-a} = \frac{1}{X^a}\]
so \[a^{-100} = \frac{1}{a^{100}}\] would be correct.

Answer 6

oooh okay thank you

Answer 7

\[X^aX^b=X^{a+b}\]
\[\left(x^a\right)^b = X^{ab}\]
\[x^{-a}=\frac{1}{X^a}\]
\[X^a +X^b \neq X^{a+b}\]

Answer 8

So would i write it like this?\[8c ^\frac{ 1 }{ 3 }\]

Answer 9

\[\frac{8}{c^4a^3}\]

Answer 10

oh okay thanks.

Answer 11

\[ X^{1/a} = \sqrt[a]{X}\]

Answer 12

????