10 to the negative 4th power, written as 10-4, is equal to 0.0001. This means that you take the number 10 and raise it to the power of -4.
Here’s how it works:
- When you raise a number to a negative power, you take the reciprocal of that number raised to the positive power. So, 10-4 is the same as 1 divided by 104.
- 104 is 10 multiplied by itself 4 times, which equals 10,000.
- Therefore, 10-4 is 1 divided by 10,000, which equals 0.0001.
In summary, 10-4 = 0.0001.