What an exponent represents
An exponent tells you how many times a base is multiplied by itself. In 2^5, the base is 2 and the exponent is 5, so the result is 2 x 2 x 2 x 2 x 2. This is why powers grow quickly: each additional step multiplies the previous result again.
Roots reverse that process. A square root asks which number, multiplied by itself, gives the original value. A cube root asks which number, multiplied by itself three times, gives the original value. That is why an exponent calculator and a root calculator naturally belong together.