​$$\text{Find the value of } 91^{-2} \div 91^7 \times 91^{-17}$$​​

Correct option is A

Given:

​$$91^{-2} \div 91^7 \times 91^{-17}$$

Formula Used:

a​^m​$$\div$$ aⁿ =  a^{m - n} 

a^m​$$\times$$aⁿ  =  a^{m + n}​

Solution:

​​$$91^{-2} \div 91^7 \times 91^{-17} \\ \ \\= 91^{-2-7} \times 91^{-17}\\ \ \\= 91^{-9} \times 91^{-17}\\ \ \\= 91^{-9-17}\\ \ \\= 91^{-26}$$​