Algebra Examples

${(\frac{1}{2 r^{6}})}^{- 6}$

Step 1

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

${(2 r^{6})}^{6}$

Step 2

Apply the product rule to $2 r^{6}$ .

$2^{6} {(r^{6})}^{6}$

Step 3

Raise $2$ to the power of $6$ .

$64 {(r^{6})}^{6}$

Step 4

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

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Step 4.1

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

$64 r^{6 \cdot 6}$

Step 4.2

Multiply $6$ by $6$ .

$64 r^{36}$