Question

Express each of the following in exponential form:

$\frac{16}{49}$

Answer 1

Given ,

The fraction is $\frac{16}{49}$

$$\begin{gathered} =\frac{4\times 4}{7\times 7} \\ =\frac{4^2}{7^2} \\ ={\left(\frac{4}{7}\right)}^2 \end{gathered}$$

Hence, the required answer is ${\left(\frac{4}{7}\right)}^2$