The value of 10 raised to the power of negative 2 can be calculated using the concept of negative exponents. A negative exponent indicates that the base (in this case, 10) is on the bottom of a fraction. Specifically, 10 to the power of negative 2 is equivalent to:
10-2 = 1 / 102
Now, 102 is equal to 100. Therefore, we can rewrite the equation:
10-2 = 1 / 100
This simplifies to:
10-2 = 0.01
So, the value of 10 to the power of negative 2 is 0.01.