Why do whole numbers raised to an exponent get greater, while fractions raised to an exponent get smaller?

-- A whole number raised to an exponent means putting a
whole number of apples into a basket many times.

-- A fraction raised to an exponent means taking a piece
of a piece of a piece of a piece many times.

Answer Link

MathG33kid MathG33kid · Answer 2

Exponents are multiplying the number that has the exponent by itself how many number of times the exponent is. I worded this kinda weirdly, so here's an example. 2^4. 2 is the number that has the exponent, and 4 is the exponent. Now you would do 2x2x2x2. So 2^4 = 16. However if you use fractions, you are multiplying the fraction by itself how many number of times, making the fraction even smaller. So 1/2^4 would result in 1/2*1/2*1/2*1/2 or 1/16, which is smaller than 1/2.