Basic Math Examples

${(\frac{- 2 {pm}^{6}}{p^{4}})}^{4}$

Step 1

Move the negative in front of the fraction.

${(- \frac{2 {pm}^{6}}{p^{4}})}^{4}$

Step 2

Rewrite the expression.

${(- (\frac{2}{p^{4}} {pm}^{6}))}^{4}$

Step 3

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Tap for more steps...

Step 3.1

Apply the product rule to $- \frac{2}{p^{4}} {pm}^{6}$ .

${(- \frac{2}{p^{4}})}^{4} {({pm}^{6})}^{4}$

Step 3.2

Apply the product rule to $- \frac{2}{p^{4}}$ .

${(- 1)}^{4} {(\frac{2}{p^{4}})}^{4} {({pm}^{6})}^{4}$

Step 3.3

Apply the product rule to $\frac{2}{p^{4}}$ .

${(- 1)}^{4} \frac{2^{4}}{{(p^{4})}^{4}} {({pm}^{6})}^{4}$

Step 4

Raise $- 1$ to the power of $4$ .

$1 \frac{2^{4}}{{(p^{4})}^{4}} {({pm}^{6})}^{4}$

Step 5

Multiply $\frac{2^{4}}{{(p^{4})}^{4}}$ by $1$ .

$\frac{2^{4}}{{(p^{4})}^{4}} {({pm}^{6})}^{4}$

Step 6

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

$\frac{16}{{(p^{4})}^{4}} {({pm}^{6})}^{4}$

Step 7

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

Tap for more steps...

Step 7.1

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

$\frac{16}{p^{4 \cdot 4}} {({pm}^{6})}^{4}$

Step 7.2

Multiply $4$ by $4$ .

$\frac{16}{p^{16}} {({pm}^{6})}^{4}$

Step 8

Multiply the exponents in ${({pm}^{6})}^{4}$ .

Tap for more steps...

Step 8.1

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

$\frac{16}{p^{16}} {pm}^{6 \cdot 4}$

Step 8.2

Multiply $6$ by $4$ .

$\frac{16}{p^{16}} {pm}^{24}$