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# 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/a^{n }= (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

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