What is the irrational cube root 81−−√3 rewritten as a product of an integer and another irrational cube root?
We can rewrite 81 as the cube of 3:
81 = 3^4
Therefore, we can rewrite the expression as:
(3^4)^(1/3)
Using the property of exponents, this simplifies to:
3^(4/3)
This can be further simplified by writing it as a product of an integer and an irrational cube root:
3^(4/3) = 3^(1/3 * 4)
Now, we can rewrite it as:
(3^(1/3))^4
So, the irrational cube root 81^(1/3) can be rewritten as a product of an integer (3) and another irrational cube root 3^(1/3).