Question

Help with math homework pls! NO WRONG ANSWERS!!!

Answer 1

We have been given the expression

$\frac{a\cdot a \cdot a \cdot a \cdot a \cdot a }{a}$

We have to write this expression in the form $a^n$

In order to write the given expression in this form, we can use some exponent property.

$(1) x^a\cdot x^b= x^{a+b}\\\\(2)\frac{x^a}{x^b}=x^{a-b}$

On using the property (1), we have

$\frac{a\cdot a \cdot a \cdot a \cdot a \cdot a }{a}\\\\=\frac{a^{1+1+1+1+1+1}}{a}\\\\\frac{a^6}{a}$

Now, on using the property (2), we get

$\frac{a^6}{a}\\\\=a^{6-1}\\\\=a^5$

Therefore, the simplified form of the given expression is

$a^5$