Basic Math Examples

$\frac{16}{{(3 m^{2} n^{2})}^{4}}$

Step 1

Apply the product rule to $3 m^{2} n^{2}$ .

$\frac{16}{{(3 m^{2})}^{4} {(n^{2})}^{4}}$

Step 2

Apply the product rule to $3 m^{2}$ .

$\frac{16}{3^{4} {(m^{2})}^{4} {(n^{2})}^{4}}$

Step 3

Raise $3$ to the power of $4$ .

$\frac{16}{81 {(m^{2})}^{4} {(n^{2})}^{4}}$

Step 4

Multiply the exponents in ${(m^{2})}^{4}$ .

Tap for more steps...

Step 4.1

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

$\frac{16}{81 m^{2 \cdot 4} {(n^{2})}^{4}}$

Step 4.2

Multiply $2$ by $4$ .

$\frac{16}{81 m^{8} {(n^{2})}^{4}}$

Step 5

Multiply the exponents in ${(n^{2})}^{4}$ .

Tap for more steps...

Step 5.1

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

$\frac{16}{81 m^{8} n^{2 \cdot 4}}$

Step 5.2

Multiply $2$ by $4$ .

$\frac{16}{81 m^{8} n^{8}}$