Question

Simplify. Assume that the denominator is not zero. (x^(11))/(x^(10))

Answer 1

`\boxed{\rm{x}}`

Explanation:

To simplify:

`\frac{ {x}^(11) }{ {x}^(10) }`

The base of the exponent in numerator and denominator is same. Using the Quotient of power rule of exponents,
`{x}^(m) / {x}^(n) = {x}^(m - n)` here m = 11 and n = 10.

Then, simplified value of of x¹¹ / x¹⁰

= x¹¹‐¹⁰

= x¹ = x (ans)