Question

Express the following in exponential form: $\frac{-5}{7}\times \frac{-5}{7}\times \frac{-5}{7}\times \frac{-5}{7}$

Answer 1

We have $\frac{-5}{7}\times \frac{-5}{7}\times \frac{-5}{7}\times \frac{-5}{7}$

$i.e\frac{-5}{7}$ multiplied $4$ times

So,

The power is to be raised to $4$

$\Rightarrow {\left(\frac{-5}{7}\right)}^4$

$\Rightarrow {\left(\frac{-1\times 5}{7}\right)}^4$

$\Rightarrow (-1{)}^4{\left(\frac{5}{7}\right)}^4$

$\Rightarrow {\left(\frac{5}{7}\right)}^4$