Question

Evaluate the value of the following:

${\left(\frac{6}{11}\right)}^2÷{\left(\frac{6}{11}\right)}^2$

Answer 1

Hint: As we know the following laws of exponents is:

1. ${\left(\frac{x}{y}\right)}^a=\frac{x^a}{y^a}$

Step 1: Given number: ${\left(\frac{6}{11}\right)}^2÷{\left(\frac{6}{11}\right)}^2$

Step2: Solution:

Using the above law of exponents:

$$\begin{gathered} {\left(\frac{6}{11}\right)}^2÷{\left(\frac{6}{11}\right)}^2=\frac{6^2}{{11}^2}÷\frac{6^2}{{11}^2}\left\{U\sin g{\left(\frac{x}{y}\right)}^a=\frac{x^a}{y^b}\right\} \\ =1 \end{gathered}$$

$1$, This is the required value.

Final Answer: $1$, This is the required value.