Question

Rewrite the expression in the form o{n} " alt=" {a}^{n} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

a^ (5/2)

Step-by-step 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)

Answer 2

Answer:

$a^{\frac{5}{2} }$

Step-by-step explanation:

Using exponent rules, if we have $a^x \div a^y$ then the result can simplify to $a^{x-y}$

So $a^5 \div a^{\frac{5}{2}}$ is the same as $a^{5 - \frac{5}{2}}$.

$\frac{5}{1} - \frac{5}{2} = \frac{10}{2} - \frac {5}{2} = \frac {5}{2}$

So $a^{\frac{5}{2}}$.

Hope this helped!