Question

Choose the correct answer and fill in the blanks :

${\left(-2\right)}^{21}÷{\left(-2\right)}^{20}=\_\_\_\_\_\_\_.\left(\left(-2\right)\frac{21}{20}/{\left(-2\right)}^{21-20}\right)$

Answer 1

Compute the required value:

By the properties of exponent, we know that,

$a^x÷a^y=a^{x-y}$

By using the above property -

${\left(-2\right)}^{21}÷{\left(-2\right)}^{20}={\left(-2\right)}^{21-20}$

Hence, the correct answer is ${\left(-2\right)}^{21-20}$.