Simplify (aaaaaaa)/(aaa*aaa)

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

Multiply $a$ by $a$ .

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

Multiply $a^{2}$ by $a$ by adding the exponents.

Multiply $a^{2}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{2} \cdot a^{1} \cdot a \cdot a \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{2 + 1} \cdot a \cdot a \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Add $2$ and $1$ .

$\frac{a^{3} \cdot a \cdot a \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Multiply $a^{3}$ by $a$ by adding the exponents.

Multiply $a^{3}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{3} \cdot a^{1} \cdot a \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{3 + 1} \cdot a \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Add $3$ and $1$ .

$\frac{a^{4} \cdot a \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Multiply $a^{4}$ by $a$ by adding the exponents.

Multiply $a^{4}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{4} \cdot a^{1} \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{4 + 1} \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Add $4$ and $1$ .

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

Multiply $a^{5}$ by $a$ by adding the exponents.

Multiply $a^{5}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{5} \cdot a^{1} \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{5 + 1} \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Add $5$ and $1$ .

$\frac{a^{6} \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Multiply $a^{6}$ by $a$ by adding the exponents.

Multiply $a^{6}$ by $a$ .

Raise $a$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $6$ and $1$ .

$\frac{a^{7}}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$

Multiply $a$ by $a$ .

$\frac{a^{7}}{a^{2} \cdot a \cdot a \cdot a \cdot a}$

Multiply $a^{2}$ by $a$ by adding the exponents.

Multiply $a^{2}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{7}}{a^{2} \cdot a^{1} \cdot a \cdot a \cdot a}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{7}}{a^{2 + 1} \cdot a \cdot a \cdot a}$

Add $2$ and $1$ .

$\frac{a^{7}}{a^{3} \cdot a \cdot a \cdot a}$

Multiply $a^{3}$ by $a$ by adding the exponents.

Multiply $a^{3}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{7}}{a^{3} \cdot a^{1} \cdot a \cdot a}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{7}}{a^{3 + 1} \cdot a \cdot a}$

Add $3$ and $1$ .

$\frac{a^{7}}{a^{4} \cdot a \cdot a}$

Multiply $a^{4}$ by $a$ by adding the exponents.

Multiply $a^{4}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{7}}{a^{4} \cdot a^{1} \cdot a}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{7}}{a^{4 + 1} \cdot a}$

Add $4$ and $1$ .

$\frac{a^{7}}{a^{5} \cdot a}$

Multiply $a^{5}$ by $a$ by adding the exponents.

Multiply $a^{5}$ by $a$ .

Raise $a$ to the power of $1$ .

$\frac{a^{7}}{a^{5} \cdot a^{1}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{7}}{a^{5 + 1}}$

Add $5$ and $1$ .

$\frac{a^{7}}{a^{6}}$

Cancel the common factor of $a^{7}$ and $a^{6}$ .

Factor $a^{6}$ out of $a^{7}$ .

$\frac{a^{6} a}{a^{6}}$

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{a}{1}$

Divide $a$ by $1$ .

$a$

Simplify (a*a*a*a*a*a*a)/(a*a*a*a*a*a)

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Simplify (aaaaaaa)/(aaa*aaa)