Question

PLEASE HURRY!!
simplify completely
show all work for full credit

Answer 1

`4x^(3)`

Explanation:

Given:

`((192x^(12))/(3x^(3)) )^{(1)/(3)}`

Apply exponent rule of distribution:

`\frac{(192x^(12))^{(1)/(3)}}{(3x^(3))^{(1)/(3)}}`

Simplify the numerator:

`\\\\\frac{4 * 3^{(1)/(3)}x^(4)}{(3x^(3))^{(1)/(3)}}`

Simplify the denominator:

`\\\frac{4 * 3^{(1)/(3)}x^(4)}{3^(1)/(3)x}}`

Simplify:

`4x^(3)`

-> To explain this party since it is a bigger jump,
`3^{(1)/(3)}x` is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have
`x^(3)` leftover too.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather