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For a fixed base, if the exponent decreases by 1, the number become

Question

For a fixed base, if the exponent decreases by 1, the number become

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Solution

To answer the question, we need to understand the concept of exponents and how they affect numbers.

An exponent represents the number of times a base is multiplied by itself. For example, in the expression 2^3, the base is 2 and the exponent is 3. This means that 2 is multiplied by itself 3 times: 2 * 2 * 2 = 8.

Now, let's consider a fixed base and a decreasing exponent. If the exponent decreases by 1, it means that we are subtracting 1 from the original exponent.

Let's use an example to illustrate this. Suppose we have a base of 5 and an exponent of 4. This means that 5 is multiplied by itself 4 times: 5 * 5 * 5 * 5 = 625.

If we decrease the exponent by 1, we get an exponent of 3. This means that 5 is multiplied by itself 3 times: 5 * 5 * 5 = 125.

So, when the exponent decreases by 1, the number becomes smaller because we are performing fewer multiplications with the base. In this example, the number decreased from 625 to 125.

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