Solve বক্সের আয়তন 64*1^ prime *1^ prime *3^ prime prime; 69*1**1^ prime *( 5 12 ) 3 = 64*4 12 = 16*5 3; =/ 16 12; = 80 3 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$= \frac { 64 \times 1 \times 1 \times 15 ^ { 13 } \times 5 ^ { 15 } } { 16 \times 11 \times 1 \times 1 \frac { 15 } { 12 } }$$

Evaluate

$\frac{105587840080261230468750000}{11}\approx 9.598894553 \cdot 10^{24}$

Solution Steps

Multiply $64$ and $1$ to get $64$.

$$\frac{64\times 1\times 15^{13}\times 5^{15}}{16\times 11\times 1\times \frac{1\times 12+15}{12}}$$

Multiply $64$ and $1$ to get $64$.

$$\frac{64\times 15^{13}\times 5^{15}}{16\times 11\times 1\times \frac{1\times 12+15}{12}}$$

Calculate $15$ to the power of $13$ and get $1946195068359375$.

$$\frac{64\times 1946195068359375\times 5^{15}}{16\times 11\times 1\times \frac{1\times 12+15}{12}}$$

Multiply $64$ and $1946195068359375$ to get $124556484375000000$.

$$\frac{124556484375000000\times 5^{15}}{16\times 11\times 1\times \frac{1\times 12+15}{12}}$$

Calculate $5$ to the power of $15$ and get $30517578125$.

$$\frac{124556484375000000\times 30517578125}{16\times 11\times 1\times \frac{1\times 12+15}{12}}$$

Multiply $124556484375000000$ and $30517578125$ to get $3801162242889404296875000000$.

$$\frac{3801162242889404296875000000}{16\times 11\times 1\times \frac{1\times 12+15}{12}}$$

Multiply $16$ and $11$ to get $176$.

$$\frac{3801162242889404296875000000}{176\times 1\times \frac{1\times 12+15}{12}}$$

Multiply $176$ and $1$ to get $176$.

$$\frac{3801162242889404296875000000}{176\times \frac{1\times 12+15}{12}}$$

Multiply $1$ and $12$ to get $12$.

$$\frac{3801162242889404296875000000}{176\times \frac{12+15}{12}}$$

Add $12$ and $15$ to get $27$.

$$\frac{3801162242889404296875000000}{176\times \frac{27}{12}}$$

Reduce the fraction $\frac{27}{12}$ to lowest terms by extracting and canceling out $3$.

$$\frac{3801162242889404296875000000}{176\times \frac{9}{4}}$$

Express $176\times \frac{9}{4}$ as a single fraction.

$$\frac{3801162242889404296875000000}{\frac{176\times 9}{4}}$$

Multiply $176$ and $9$ to get $1584$.

$$\frac{3801162242889404296875000000}{\frac{1584}{4}}$$

Divide $1584$ by $4$ to get $396$.

$$\frac{3801162242889404296875000000}{396}$$

Reduce the fraction $\frac{3801162242889404296875000000}{396}$ to lowest terms by extracting and canceling out $36$.

$$\frac{105587840080261230468750000}{11}$$

Factor

$\frac{2 ^ {4} \cdot 3 ^ {11} \cdot 5 ^ {28}}{11} = 9.598894552751021 \times 10^{24}\frac{1}{11} = 9.598894552751021 \times 10^{24}$