The four operations with the same radix you mentioned are also exponential operations. It's actually quite simple. The exponential operation of two numbers with the same radix can be understood as "upgrade operation". That is, the multiplication and division method of the actual operation of the same base can be changed to the addition and subtraction of the index; The power sum root of the same base number can be converted into exponential multiplication and division. The so-called "upgrade operation" refers to the second-level operation (multiplication and division) of the actual index can be converted into the third-level operation (power and root) of the actual number; The first-order operation of exponent (addition and subtraction) is the second-order operation of real number (multiplication and division). Written formula is:

a^b×a^c=a^(b+c)

a^b÷a^c=a^(b-c)

(a^b)^c=a^(bc)

(superscript c √ (b √ a)) = a (1/BC)