Algebra Examples

$w^{2} \cdot w \cdot w^{- 5}$

Step 1

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

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

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

$w^{2} \cdot w^{1} \cdot w^{- 5}$

Step 1.1.2

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

$w^{2 + 1} \cdot w^{- 5}$

Step 1.2

Add $2$ and $1$ .

$w^{3} \cdot w^{- 5}$

Step 2

Multiply $w^{3}$ by $w^{- 5}$ by adding the exponents.

Tap for more steps...

Step 2.1

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

$w^{3 - 5}$

Step 2.2

Subtract $5$ from $3$ .

$w^{- 2}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{w^{2}}$