Rewrite the irrational cube root ^3divided by 189 as the product of an integer and another irrational cube root.
Let's rewrite the expression in the desired form.
To find an integer that can be factored out, let's factorize 189:
189 = 3 * 63
We can rewrite the expression as follows:
(cube root of 3^3 * 63) / 189
Now, let's simplify the cube root:
(cube root of 3^3 * 63) = cube root of (27 * 63)
= cube root of (1701)
Now, let's rewrite the expression using the integer factor and the simplified cube root:
(cube root of 3^3 * 63) / 189 = (cube root of 1701) / (3 * 63 / 189)
= (cube root of 1701) / (1 * 1)
= (cube root of 1701) / 1
Therefore, the irrational cube root (^3) divided by 189 can be rewritten as the product of an integer (1) and another irrational cube root (cube root of 1701).