Simplify (w^5)/(w*w^4)

$\frac{w^{5}}{w \cdot w^{4}}$

Step 1

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

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

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

$\frac{w^{5}}{w^{1} \cdot w^{4}}$

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

$\frac{w^{5}}{w^{1 + 4}}$

Add $1$ and $4$ .

$\frac{w^{5}}{w^{5}}$

Step 2

Cancel the common factor of $w^{5}$ .

Cancel the common factor.

$\frac{w^{5}}{w^{5}}$

Rewrite the expression.

$1$