Simplify (zzzzzzz)/(z*z)

$\frac{z \cdot z \cdot z \cdot z \cdot z \cdot z \cdot z}{z \cdot z}$

Step 1

Multiply $z$ by $z$ .

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

Step 2

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

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

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

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

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

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

Add $2$ and $1$ .

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

Step 3

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

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

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

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

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

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

Add $3$ and $1$ .

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

Step 4

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

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

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

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

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

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

Add $4$ and $1$ .

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

Step 5

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

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

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

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

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

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

Add $5$ and $1$ .

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

Step 6

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

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

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

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

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

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

Add $6$ and $1$ .

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

Step 7

Multiply $z$ by $z$ .

$\frac{z^{7}}{z^{2}}$

Step 8

Cancel the common factor of $z^{7}$ and $z^{2}$ .

Factor $z^{2}$ out of $z^{7}$ .

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

Cancel the common factors.

Multiply by $1$ .

$\frac{z^{2} z^{5}}{z^{2} \cdot 1}$

Cancel the common factor.

$\frac{z^{2} z^{5}}{z^{2} \cdot 1}$

Rewrite the expression.

$\frac{z^{5}}{1}$

Divide $z^{5}$ by $1$ .

$z^{5}$

Simplify (z*z*z*z*z*z*z)/(z*z)

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Simplify (zzzzzzz)/(z*z)