How to Get Rid of Exponents?

Exponent can be defined as power on a number. Number can have any exponent of any order. For Example: x⁵, here 5 is an exponent on variable 'x'. Combined form of exponent and variable is called as polynomial. Sometimes to get the solution of an algebraic expression we need to get rid of exponents. So we have to apply some kind of calculation on algebraic expression for removing exponents. Let us see how to get rid of exponents.

We need to get rid of exponent to get the value of variable in base. In x⁶, 6 is an exponent and 'x' is the base variable. In order to get the value of variable we shift the exponent from variable side to constant side.
Step 1: Take the reciprocal of terms with exponents. For Example: Reciprocal of x⁴ will be 1 /x⁴.

Step 2: Now select appropriate roots on both sides of expression. For Example: If we have 5² then reciprocal will be 1 / 5², find the root on both sides as:
(1 + i)^{5^2(1 / 5^2)} = 1 + i.
This is a property of the exponent which states that if (x ^y) ^{(1 / y)} then it will be equals to x ^{(y / y)}. So from this formula right side will be 2^{(1 / 5^2)}.

Step 3: Now we will solve the root of constant value. Root of constant value will be equals to variable. From this expression answer will be 1.0134.