Lahenda (3/8)^15*(4/9)^15:(1/6)^11

$$( \frac { 3 } { 8 } ) ^ { 15 } \cdot ( \frac { 4 } { 9 } ) ^ { 15 } : ( \frac { 1 } { 6 } ) ^ { 11 }$$

Arvuta

$$\frac{1}{1296}\approx 0,000771605$$

Lahenduse etapid

Arvutage 15 aste \frac{3}{8} ja leidke \frac{14348907}{35184372088832}.

$$\frac{\frac{14348907}{35184372088832}\times \left(\frac{4}{9}\right)^{15}}{\left(\frac{1}{6}\right)^{11}}$$

Arvutage 15 aste \frac{4}{9} ja leidke \frac{1073741824}{205891132094649}.

$$\frac{\frac{14348907}{35184372088832}\times \frac{1073741824}{205891132094649}}{\left(\frac{1}{6}\right)^{11}}$$

Korrutage omavahel \frac{14348907}{35184372088832} ja \frac{1073741824}{205891132094649}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

$$\frac{\frac{14348907\times 1073741824}{35184372088832\times 205891132094649}}{\left(\frac{1}{6}\right)^{11}}$$

Tehke korrutustehted murruga \frac{14348907\times 1073741824}{35184372088832\times 205891132094649}.

$$\frac{\frac{15407021574586368}{7244150201408990671659859968}}{\left(\frac{1}{6}\right)^{11}}$$

Taandage murd \frac{15407021574586368}{7244150201408990671659859968} vähimale ühiskordsele, eraldades ja taandades arvu 15407021574586368.

$$\frac{\frac{1}{470184984576}}{\left(\frac{1}{6}\right)^{11}}$$

Arvutage 11 aste \frac{1}{6} ja leidke \frac{1}{362797056}.

$$\frac{\frac{1}{470184984576}}{\frac{1}{362797056}}$$

Jagage \frac{1}{470184984576} väärtusega \frac{1}{362797056}, korrutades \frac{1}{470184984576} väärtuse \frac{1}{362797056} pöördväärtusega.

$$\frac{1}{470184984576}\times 362797056$$

Korrutage \frac{1}{470184984576} ja 362797056, et leida \frac{362797056}{470184984576}.

$$\frac{362797056}{470184984576}$$

Taandage murd \frac{362797056}{470184984576} vähimale ühiskordsele, eraldades ja taandades arvu 362797056.

$$\frac{1}{1296}$$

Lahuta teguriteks

$$\frac{1}{2 ^ {4} \cdot 3 ^ {4}} = 0,0007716049382716049$$