First let us convert 0.01 into fraction:

Now we convert 100 and 4 into perfect squares as follows:

Now we use the property of :


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For this case we must find the quotient of the following expression:

By definition of power properties we have:

Rewriting the expression we have:

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

Answer:

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