Find the value of 10 to the power of negative 2?
We will be using the concept of the exponent rules for the solution.
Answer: The value of 10 to the power of negative 2 is 0.01
Let us solve it step by step.
Given, 10 to the power of negative 2.
Basically, any negative exponent represents that how many times the reciprocal of the base can be multiplied.
For example, a-n = 1/an = (1/a) × (1/a) × … × 1/a (n times)
Hence,10 to the power of negative 2 can be written as 10-2.
Here, 10 is the base, whereas -2 is the power of the expression.
Therefore, 10-2 = (1/10)2 = (1/10) × (1/10) = (1/100) = 0.01
Hence, the value of 10 to the power of negative 2 is 0.01