Lutasin ang sqrt{6^4*81^25/243^20*16}

$$\sqrt { \frac { 6 ^ { 4 } \cdot 81 ^ { 25 } } { 243 ^ { 20 } \cdot 16 } }$$

I-evaluate

$$9$$

Mga Hakbang ng Solution

Kalkulahin ang 6 sa power ng 4 at kunin ang 1296.

$$\sqrt{\frac{1296\times 81^{25}}{243^{20}\times 16}}$$

Kalkulahin ang 81 sa power ng 25 at kunin ang 515377520732011331036461129765621272702107522001.

$$\sqrt{\frac{1296\times 515377520732011331036461129765621272702107522001}{243^{20}\times 16}}$$

I-multiply ang 1296 at 515377520732011331036461129765621272702107522001 para makuha ang 667929266868686685023253624176245169421931348513296.

$$\sqrt{\frac{667929266868686685023253624176245169421931348513296}{243^{20}\times 16}}$$

Kalkulahin ang 243 sa power ng 20 at kunin ang 515377520732011331036461129765621272702107522001.

$$\sqrt{\frac{667929266868686685023253624176245169421931348513296}{515377520732011331036461129765621272702107522001\times 16}}$$

I-multiply ang 515377520732011331036461129765621272702107522001 at 16 para makuha ang 8246040331712181296583378076249940363233720352016.

$$\sqrt{\frac{667929266868686685023253624176245169421931348513296}{8246040331712181296583378076249940363233720352016}}$$

I-divide ang 667929266868686685023253624176245169421931348513296 gamit ang 8246040331712181296583378076249940363233720352016 para makuha ang 81.

$$\sqrt{81}$$

Kalkulahin ang square root ng 81 at makuha ang 9.

$$9$$

I-factor

$$3^{2}$$