To find the number that, when raised to the fourth power, equals 2,401, we need to calculate the fourth root of 2,401.
The fourth root of a number is the same as raising that number to the power of 1/4. In mathematical terms, if we let x be the number we are looking for, we have:
x4 = 2401
To solve for x, we can take the fourth root of both sides:
x = √√√√2401
Calculating the fourth root of 2,401, we find that:
x = 7
This is because:
74 = 7 × 7 × 7 × 7 = 2401
Therefore, the number to the fourth power that equals 2,401 is 7.