324
324
1296
1296
The number 1296 can be divided by several integers, including 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 72, 108, 144, 216, 324, and 432, as well as 648 and 1296 itself. In fact, 1296 is a composite number with a total of 25 divisors. It can also be expressed as (36^2) or (2^4 \times 3^4) in its prime factorization.
It is: 864 divided by 2/3 = 1296
162
To find the exponent of 1296, we first determine its prime factorization. The prime factorization of 1296 is (2^4 \times 3^4). Therefore, the exponents in this factorization are 4 for both prime factors. The exponent of 1296 can be interpreted as the highest exponent in its prime factorization, which is 4.
⁴√1296 = 4√(36)2 = √36 = ±6
The radical sign in the number sentence "4√1296 = 6" indicates that the square root of 1296 is being multiplied by 4. To solve for the square root, we find that √1296 equals 36, since 36 × 36 = 1296. Therefore, 4 times the square root of 1296 equals 144, not 6, indicating that there may be an error in the statement.
1296
1296
16