Question

Express each of the following in exponential form:

$\frac{-343}{1024}$

Answer 1

Given ,

The fraction is $\frac{-343}{1024}$

$$\begin{gathered} =\frac{-7\times -7\times -7}{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2} \\ =\frac{-7^3}{2^{10}} \end{gathered}$$

Hence, the required answer is $\left(\frac{-7^3}{2^{10}}\right)$