Pre-Algebra Examples

$\frac{{(2 x^{0} y^{4})}^{- 4}}{z^{2}}$

Step 1

Move ${(2 x^{0} y^{4})}^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{z^{2} {(2 x^{0} y^{4})}^{4}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Apply the product rule to $2 x^{0} y^{4}$ .

$\frac{1}{z^{2} {(2 x^{0})}^{4} {(y^{4})}^{4}}$

Step 2.2

Anything raised to $0$ is $1$ .

$\frac{1}{z^{2} {(2 \cdot 1)}^{4} {(y^{4})}^{4}}$

Step 2.3

Multiply $2$ by $1$ .

$\frac{1}{z^{2} \cdot 2^{4} {(y^{4})}^{4}}$

Step 2.4

Raise $2$ to the power of $4$ .

$\frac{1}{z^{2} \cdot 16 {(y^{4})}^{4}}$

Step 2.5

Multiply the exponents in ${(y^{4})}^{4}$ .

Tap for more steps...

Step 2.5.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{z^{2} \cdot 16 y^{4 \cdot 4}}$

Step 2.5.2

Multiply $4$ by $4$ .

$\frac{1}{z^{2} \cdot 16 y^{16}}$

Step 3

Move $16$ to the left of $z^{2}$ .

$\frac{1}{16 z^{2} y^{16}}$