Which expression is another way to write 3 radical 125 x^4?

Answer 1

The expression 3 radical 125 x^4 can be simplified using the fact that 125 is a perfect cube:

3 radical 125 x^4 = 3 radical (5^3) x^4

Then, we can use the rule of exponents that states:

radical (a^b) = a^(b/2)

To obtain:

3 radical (5^3) x^4 = 3(5^(3/2)) x^2

Therefore, another way to write 3 radical 125 x^4 is:

15 radical 5 x^2