Algebra Examples

$\frac{w {(x y)}^{- 2}}{{(3 t v)}^{- 2}}$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Move ${(x y)}^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{w}{{(3 t v)}^{- 2} {(x y)}^{2}}$

Step 1.2

Move ${(3 t v)}^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{w {(3 t v)}^{2}}{{(x y)}^{2}}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Apply the product rule to $3 t v$ .

$\frac{w {(3 t)}^{2} v^{2}}{{(x y)}^{2}}$

Step 2.2

Apply the product rule to $3 t$ .

$\frac{w (3^{2} t^{2}) v^{2}}{{(x y)}^{2}}$

Step 2.3

Raise $3$ to the power of $2$ .

$\frac{w \cdot 9 t^{2} v^{2}}{{(x y)}^{2}}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Apply the product rule to $x y$ .

$\frac{w \cdot 9 t^{2} v^{2}}{x^{2} y^{2}}$

Step 3.2

Move $9$ to the left of $w$ .

$\frac{9 w t^{2} v^{2}}{x^{2} y^{2}}$