Question

the simplified value of [(9³)²×9⁶]÷9¹⁰ is ​

Answer 1

Given,

The main expression is = [(9³)²×9⁶]÷9¹⁰

To find,

The final result of the main expression.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we just need to apply the principles of Indicies.

Simplification :

= [(9³)²×9⁶]÷9¹⁰

= (9⁶×9⁶)÷9¹⁰ [Power gets multiplied in case of whole to the power cases, ie. (3×2) = 6]

= (9¹²÷9¹⁰) [ Power gets added in case of multiplication cases, ie. (6+6) = 12]

= 9² [ Power gets subtracted in case of division, ie. (12-10) = 2]

= 81

Hence, the final answer will be 81.