Rewrite the expression in the form o {a}^(n) ​

Question

Rewrite the expression in the form o

`{a}^(n)`
​

Answer 1

`a^{(5)/(2) }`

Explanation:

Using exponent rules, if we have
`a^x / a^y` then the result can simplify to
`a^(x-y)`

So
`a^5 / a^{(5)/(2)}` is the same as
`a^{5 - (5)/(2)}`.

`(5)/(1) - (5)/(2) = (10)/(2) - \frac {5}{2} = \frac {5}{2}`

So
`a^{(5)/(2)}`.

Hope this helped!

Answer 2

a^ (5/2)

Explanation:

a^5 ÷ a ^ (5/2)

We know that x^b ÷ x^c = x^ ( b-c)

a^ ( 5 - 5/2)

a^ ( 10/2 - 5/2)

a^ (5/2)