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.

Explanation:

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