Write the following in exponential form assuming denominators not equal to zero:
$\frac{{(- 5)}^{10}}{{(- 5)}^{4}}$

Open in App

Solution

For any non-zero integer $a$ , where $m$ and $n$ are whole numbers and $m > n$ .
$a^{m} \div a^{n} = \frac{a^{m}}{a^{n}} = a^{m - n}$
So, $\frac{{(- 5)}^{10}}{{(- 5)}^{4}}$ $= {(- 5)}^{10 - 4}$ where $a = - 5, m = 10, n = 4$
$= {(- 5)}^{6}$ .
Therefore, $\frac{{(- 5)}^{10}}{{(- 5)}^{4}}$ $= {(- 5)}^{6}$ .

Suggest Corrections

Similar questions

Question 84 (f)

Simplify and express each of the following in exponential form.
$(5^{15} \div 5^{10}) \times 5^{5}$

Write the following in exponential form assuming denominators not equal to zero:

$\frac{3^{5}}{3^{2}}$

Write the following in exponential form assuming denominators not equal to zero:

$\frac{{(- 6)}^{8}}{{(- 6)}^{3}}$

Write the following in exponential form assuming denominators not equal to zero:

$x^{5} \div x^{3}$

Write the following in exponential form assuming denominators not equal to zero:

${(\frac{m}{n})}^{6} \div {(\frac{m}{n})}^{4}$

Join BYJU'S Learning Program