Question

simplify.assume that no variable equals 0.
-6s∧5x³/18sx∧7

Answer 1

when you divide you subtract exponents, when you multiply you add exponents.


-6s^5x³
------- first lets simplify the constants in the fraction
18sx^7


(-6) * 5 -30 5
------ that would equal ----- --> - ---
18 18 3


lets work the variable s now:

s^5 s^5
--- ---> ---- ---> s^5/s^1 --> s^(5-1)=s^4. which would be on the top of the fraction.

So put everything we have so far,

5s^4
- -----
3

now, lets' solve the variable x.

x^3
--- ---> x^3/x^7=x^(3-7)=x^(-4) which means x64 on the bottom:
x^7

so the final answer is (connecting all parts of the puzzle)

5 s^4
- -----
3 x^4