Before we you about Math Exponentiation Formulas. You should know what is Exponentiation?
Answer : Exponentiation is a mathematical operation. It is used as square and multiply algorithm, which is written as xa, it is involving two numbers, the base x and the exponent a. When a is a positive integer, exponentiation corresponds to repeatedly multiplication of the base that is, xa is the product of multiplying a bases:
Multiplication : xa . xb = x a + b Add exponent
Example : 33 * 34 = 33+4 = 37
Division : xa / xb = xa – b Subtract exponent
Example : x7 / x5 = x7-5 =x2
Power of power : (xa)b = xab Multiply exponent
Example : (52)3 = 52*3 = 56
Power of Product : (xy)a = xa y a Multiply exponent
Power of fraction : (x/y)a = xa / ya
Example 1: Find 3128 mod 7
So, 32 mod 7 = 9 mod 7 = 2
then, 34 mod 7 = 92 mod 7 = 81 mod 7 = 4
then, 38 mod 7 = 42 mod 7 = 16 mod 7 = 2
therefore, 316 mod 7 = 22 mod 7 = 4
then, 332 mod 7 = 42 mod 7 = 2
then, 364 mod 7 = 22 mod 7 = 4
therefore, 3128 mod 7 = 42 mod 7 = 2
So, 3128 mod 7 = 2.
We provide basics of Math Exponentiation Formulas. Please visit this page to get updates on more Math Shortcut Tricks. You can also like our facebook page to get updates.
If you have any question regarding this topic then please do comment on below section. You can also send us message on facebook.
