Solve P(3)=3/4*38^19/51*13/50=

$$P ( 3 ) = \frac { 3 } { 4 } \cdot \frac { 38 ^ { 19 } } { 51 } \cdot \frac { 13 } { 50 } =$$

Evaluate

$$\frac{1685550237193606047898778140672}{425}\approx 3.966000558 \cdot 10^{27}$$

Solution Steps

Calculate 38 to the power of 19 and get 1037261684426834491014632701952.

$$\frac{3}{4}\times \frac{1037261684426834491014632701952}{51}\times \frac{13}{50}$$

Multiply \frac{3}{4} times \frac{1037261684426834491014632701952}{51} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1037261684426834491014632701952}{4\times 51}\times \frac{13}{50}$$

Do the multiplications in the fraction \frac{3\times 1037261684426834491014632701952}{4\times 51}.

$$\frac{3111785053280503473043898105856}{204}\times \frac{13}{50}$$

Reduce the fraction \frac{3111785053280503473043898105856}{204} to lowest terms by extracting and canceling out 12.

$$\frac{259315421106708622753658175488}{17}\times \frac{13}{50}$$

Multiply \frac{259315421106708622753658175488}{17} times \frac{13}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{259315421106708622753658175488\times 13}{17\times 50}$$

Do the multiplications in the fraction \frac{259315421106708622753658175488\times 13}{17\times 50}.

$$\frac{3371100474387212095797556281344}{850}$$

Reduce the fraction \frac{3371100474387212095797556281344}{850} to lowest terms by extracting and canceling out 2.

$$\frac{1685550237193606047898778140672}{425}$$

Factor

$$\frac{2 ^ {16} \cdot 13 \cdot 19 ^ {19}}{5 ^ {2} \cdot 17} = 3.9660005581026025 \times 10^{27}\frac{143}{425} = 3.9660005581026025 \times 10^{27}$$