Algebra Examples

${(3 n^{- 6})}^{- 4}$

Step 1

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

${(3 \frac{1}{n^{6}})}^{- 4}$

Step 2

Combine $3$ and $\frac{1}{n^{6}}$ .

${(\frac{3}{n^{6}})}^{- 4}$

Step 3

Change the sign of the exponent by rewriting the base as its reciprocal.

${(\frac{n^{6}}{3})}^{4}$

Step 4

Apply the product rule to $\frac{n^{6}}{3}$ .

$\frac{{(n^{6})}^{4}}{3^{4}}$

Step 5

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

Tap for more steps...

Step 5.1

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

$\frac{n^{6 \cdot 4}}{3^{4}}$

Step 5.2

Multiply $6$ by $4$ .

$\frac{n^{24}}{3^{4}}$

Step 6

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

$\frac{n^{24}}{81}$