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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/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
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