Question

Simplify each of the following numerical exp

Let x and y be positive integers and x > y.
11 exponent x / 11 exponent y equals to what?

Answer 1

When x and y are positive integers such that x > y ,then 11^x/11^y would be equal to 11^(x -y) .

• The quotient rule for exponents states that when the dividing exponents have same base then their powers must be subtracted.

Answer 2

`(11^x)/(11^y) = 11^(x - y)`

Explanation:

When we divide two numbers with the same base raised to different exponents, we subtract the exponents:

`\boxed{\begin{array}{c}\underline{\textsf{Quotient Rule of Exponents}}\\\\ (a^b)/(a^c)=a^(b-c)\\\\\end{array}}`

So, in this case:

`(11^x)/(11^y) = 11^(x - y)`

This is because when we divide
`11^x` by
`11^y`, we subtract the exponents since we are essentially canceling out the common base of 11.