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

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

And again,

Now, which is bigger

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.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

40 x 50 = 2000

step-by-step explanation: