Solve e ) f -8 -7 -6 -5 -4 -3 0 1 2 3 4 5 6 7 | 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

$$\frac { } { 48 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 10 \cdot 12 \cdot 3 \cdot 4 \cdot 5 } { 8 } 7$$

Evaluate

$\frac{29}{580608000}\approx 0.00000005$

Solution Steps

Multiply $48$ and $7$ to get $336$.

$$\frac{1}{336\times 6\times 5\times 4\times 3\times 2\times 10\times 12\times 3\times 4\times 5}\times 87$$

Multiply $336$ and $6$ to get $2016$.

$$\frac{1}{2016\times 5\times 4\times 3\times 2\times 10\times 12\times 3\times 4\times 5}\times 87$$

Multiply $2016$ and $5$ to get $10080$.

$$\frac{1}{10080\times 4\times 3\times 2\times 10\times 12\times 3\times 4\times 5}\times 87$$

Multiply $10080$ and $4$ to get $40320$.

$$\frac{1}{40320\times 3\times 2\times 10\times 12\times 3\times 4\times 5}\times 87$$

Multiply $40320$ and $3$ to get $120960$.

$$\frac{1}{120960\times 2\times 10\times 12\times 3\times 4\times 5}\times 87$$

Multiply $120960$ and $2$ to get $241920$.

$$\frac{1}{241920\times 10\times 12\times 3\times 4\times 5}\times 87$$

Multiply $241920$ and $10$ to get $2419200$.

$$\frac{1}{2419200\times 12\times 3\times 4\times 5}\times 87$$

Multiply $2419200$ and $12$ to get $29030400$.

$$\frac{1}{29030400\times 3\times 4\times 5}\times 87$$

Multiply $29030400$ and $3$ to get $87091200$.

$$\frac{1}{87091200\times 4\times 5}\times 87$$

Multiply $87091200$ and $4$ to get $348364800$.

$$\frac{1}{348364800\times 5}\times 87$$

Multiply $348364800$ and $5$ to get $1741824000$.

$$\frac{1}{1741824000}\times 87$$

Multiply $\frac{1}{1741824000}$ and $87$ to get $\frac{87}{1741824000}$.

$$\frac{87}{1741824000}$$

Reduce the fraction $\frac{87}{1741824000}$ to lowest terms by extracting and canceling out $3$.

$$\frac{29}{580608000}$$

Factor

$\frac{29}{2 ^ {13} \cdot 3 ^ {4} \cdot 5 ^ {3} \cdot 7} = 4.994764109347442 \times 10^{-8}$