can someone help me figure out how to write this in radical notation: 2x^3/5?

Answer 1

Is (2x) to the 3/5 power or is it just the x? The way it's written, it's just the x.

Either way, the 3 is the power, and the 5 is the root.

Answer 2

By definitions based on how laws of exponents work we agree that

x^n = x used as a factor n times (n a positive integer)

x^(1/n) = the nth root of x (again, n a positive integer

x^(-n) is another way to write x^(1/n)

So, 2 x ^ (3/5) = 2 [x ^1/5] ^ 3 = 2[x^3]^(1/5)

So using radicals we can write it two ways:

2 [fifthroot(x)]^3 or 2 fifthroot(x^3)

In a sentence the first is: twice the cube of the fifth root of x

The second is: twice the fifth root of x cubed.

So you can find 2(32)^(3/5) by finding

twice the cube of the fifth root of 32. Since the fifth root is 2 we get 2(2)^3 = 16

Answer 3

This is twuce the fifth root of x^3.

Answer 4

2x^3/5
2 fifth root (x^3)