simplify ∛32.
The cube root of 32 is 2.
To simplify ∛32, we need to find the cube root of 32.
Step 1: Begin by prime factorizing the number 32.
32 = 2 x 2 x 2 x 2 x 2 = 2^5
Step 2: Rewrite the number using the prime factorization.
∛32 = ∛(2^5)
Step 3: Since we are looking for the cube root, we can divide the exponent by 3.
∛32 = 2^(5/3)
Therefore, ∛32 can be written as 2^(5/3).
To simplify ∛32, you need to find the cube root of 32.
Here's how you can do it:
1. Start by finding the prime factors of 32:
32 = 2 * 2 * 2 * 2 * 2 = 2^5
2. Group the prime factors in sets of three:
∛32 = ∛(2^3 * 2^2) = ∛(2^3) * ∛(2^2) = 2^1 * 2^(2/3)
3. Finally, simplify the expression:
∛32 = 2 * 2^(2/3)
So, ∛32 simplifies to 2 times the cube root of 2 raised to the power of two-thirds.