Why do whole numbers with an exponent get raised but fractions with an exponent get smaller

See below for explanation...

Step-by-step explanation:

A fraction gets smaller because raising a value to an exponent means multiplying it by itself however many times depending on the exponent.  

EX:  2³ means 2 times itself 3 times, or  2 times 2 times 2 = 8

With fractions we are multiplying a fraction by itself however many times, so we have a fraction of a fraction, or a piece of a piece, which would keep getting smaller

EX:  (1/4)³  is one-fourth times itself 3 times, or one-fourth of one-forth of one-forth

so we get a smaller piece each time..

    (1/4)³ = 1/64

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.