Question

Simplify: (11)1/2/(11)1/4

Answer 1

Answer:

Step-by-step explanation:

Hi! For answer see the image attached to my answer.

Here we will take 11as common and subtract the powers of 11.

So we get the answer 11^1/4.

Give thanks

Answer 2

Concept:

To solve this question we need to recall one of the algebraic identities.

An identity is an equality which is true for all values of the variables.

• $\frac{x^a}{x^b} =x^{a-b}$  

i.e. if base is same in numerator and denominator then the power of denominator gets subtracted from that of numerator.

Given:

An algebraic expression :  $\frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}$

To find:

The simplified form of the expression given.

Solution:

The given expression is :  $\frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}$

Since base is same in numerator and denominator.

On using the identity we can rewrite it as :

   $11^{\frac{1}{2}-\frac{1}{4}$

=  $11^{\frac{2-1}{4}$

=   $11^{\frac{1}{4}$

Hence, the simplified form of expression is $11^{\frac{1}{4}$.