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goblinko [34]
3 years ago
5

Why do whole numbers rise to an exponent get greater while fractions raise to an exponent get smaller?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

Answer:

This is because exponents increase a number, for example 2, and, 2^2 <em>squaring a number is basically multiplying it by itself.</em> So 2 * 2 = 2^2=4. Now obiviously 4 is greater than 2. But lets make the numbers like this:

\frac{1}{2}, and, \frac{1}{2}^2

And again, \frac{1}{2}*\frac{1}{2} = (\frac{1}{2})^2 = \frac{1}{4}

Now, which is bigger \frac{1}{2}or\frac{1}{4}

A quarter is smaller than a half right?

So in this case we can see that fractions raised to an exponent get smaller while numbers raised to an exponent get bigger.

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