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# How to Get Rid of Exponents?

TopExponents can be defined as power on a number. Number can have any exponent of any order. For example, consider $x^5$. 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.

Here, we will see how to get rid of exponents.

We need to get rid of exponents to get the value of variable in base. In $x^6$, 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.

Given below are the steps followed to get rid of exponents:

Step 1: Take the reciprocal of the terms with exponents. For Example: Reciprocal of $x^4$ will be $\frac{1}{x^4}$.

Step 2: Now, select appropriate roots on both the sides of the expression. For Example: If we have $5^2$, then reciprocal will be $\frac{1}{5^2}$. Then, we will find the root on both the sides as follows:

$(1 + i)$$^{5^2(\frac{1}{5^2})} = i + 1 This is a property of the exponent which states that if (x^y)$$^{\frac{1}{y}}$, then it will be equals to $x$$^{\frac{y}{y}}. So, from this formula, right side will be 2$$^{\frac{1}{5^2}}$.

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