Solve 566*66=(8/12)^168*12/R

$$566 \cdot 66 = ( \frac { 8 } { 12 } ) ^ { 168 } * \frac { 12 } { R }$$

Solve for R

$$R=\frac{374144419156711147060143317175368453031918731001856}{446220905927058844447848251065078237714200460193429275125210275767303554955040817993}\approx 8.384735323 \cdot 10^{-34}$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by R.

$$566\times 66R=\left(\frac{8}{12}\right)^{168}\times 12$$

Multiply 566 and 66 to get 37356.

$$37356R=\left(\frac{8}{12}\right)^{168}\times 12$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$37356R=\left(\frac{2}{3}\right)^{168}\times 12$$

Calculate \frac{2}{3} to the power of 168 and get \frac{374144419156711147060143317175368453031918731001856}{143341119796678074027577337316118932770382415738332565090012937927177499182473761}.

$$37356R=\frac{374144419156711147060143317175368453031918731001856}{143341119796678074027577337316118932770382415738332565090012937927177499182473761}\times 12$$

Multiply \frac{374144419156711147060143317175368453031918731001856}{143341119796678074027577337316118932770382415738332565090012937927177499182473761} and 12 to get \frac{1496577676626844588240573268701473812127674924007424}{47780373265559358009192445772039644256794138579444188363337645975725833060824587}.

$$37356R=\frac{1496577676626844588240573268701473812127674924007424}{47780373265559358009192445772039644256794138579444188363337645975725833060824587}$$

Divide both sides by 37356.

$$R=\frac{\frac{1496577676626844588240573268701473812127674924007424}{47780373265559358009192445772039644256794138579444188363337645975725833060824587}}{37356}$$

Express \frac{\frac{1496577676626844588240573268701473812127674924007424}{47780373265559358009192445772039644256794138579444188363337645975725833060824587}}{37356} as a single fraction.

$$R=\frac{1496577676626844588240573268701473812127674924007424}{47780373265559358009192445772039644256794138579444188363337645975725833060824587\times 37356}$$

Multiply 47780373265559358009192445772039644256794138579444188363337645975725833060824587 and 37356 to get 1784883623708235377791393004260312950856801840773717100500841103069214219820163271972.

$$R=\frac{1496577676626844588240573268701473812127674924007424}{1784883623708235377791393004260312950856801840773717100500841103069214219820163271972}$$

Reduce the fraction \frac{1496577676626844588240573268701473812127674924007424}{1784883623708235377791393004260312950856801840773717100500841103069214219820163271972} to lowest terms by extracting and canceling out 4.

$$R=\frac{374144419156711147060143317175368453031918731001856}{446220905927058844447848251065078237714200460193429275125210275767303554955040817993}$$