Please check my work and if any answers wrong or you feel like it is not good enough feel free to correct me and let me know, Greatly appreciated.

Question 1
Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
No, Because the given numbers have different value.


Question 2
Rewrite in simplest radical form
1
x
−3
6

. Show each step of your process.

If the symbols of the radicals are given by

It is possible to perform the simplification as well,





Question 3
Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
Since these are both x terms and 4x= x*x*x*x, I can simply write 5x.

Question 4
Rewrite in simplest radical form
x
5
6

x
1
6

. Show each step of your process.


Question 5
Which of the following expressions are equivalent? Justify your reasoning.

A. 4√x3

B. 1
x−1

C. 10√x5•x4•x2

D.x^{\frac{1}{3} } multiply by

x^{\frac{1}{3} } multiply by

x^{\frac{1}{3} }