We have been given the expression
[tex]\frac{a\cdot a \cdot a \cdot a \cdot a \cdot a }{a}[/tex]
We have to write this expression in the form [tex]a^n[/tex]
In order to write the given expression in this form, we can use some exponent property.
[tex](1) x^a\cdot x^b= x^{a+b}\\\\(2)\frac{x^a}{x^b}=x^{a-b}[/tex]
On using the property (1), we have
[tex]\frac{a\cdot a \cdot a \cdot a \cdot a \cdot a }{a}\\\\=\frac{a^{1+1+1+1+1+1}}{a}\\\\\frac{a^6}{a}[/tex]
Now, on using the property (2), we get
[tex]\frac{a^6}{a}\\\\=a^{6-1}\\\\=a^5[/tex]
Therefore, the simplified form of the given expression is
[tex]a^5[/tex]
