Question

Simplify the following exponential expression 11^9/11^1

Answer 1

11⁸

Explanation:

Given exponential expression:

`(11^9)/(11^1)`

To simplify the given exponential expression, apply the quotient law of exponents, which states that when two numbers with the same base are divided, we subtract the exponents:

`\boxed{\begin{array}{c}\underline{\sf Quotient\;Law\;of\;Exponents}\\\\\sf (a^m)/(a^n)=a^(m-n)\\\\\end{array}}`

In this case:

`(11^9)/(11^1)=11^(9-1)=11^8`

Therefore, the given exponential expression simplifies to:

`\Large\boxed{\boxed{11^8}}`