Solve (7)/(3)\times(7)/(3)\times(7)/(3)\times(7)/(3)\times(7)/(3)\times(7)/(3)\times(7)/(3)\times(7)/(3)\times(7)/(3)\times(7)/(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

$$\frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 } \times \frac{ 7 }{ 3 }$$

Evaluate

$\frac{282475249}{59049}\approx 4783.743145523$

Solution Steps

Multiply $\frac{7}{3}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 7}{3\times 3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{7\times 7}{3\times 3}$.

$$\frac{49}{9}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Multiply $\frac{49}{9}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 7}{9\times 3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{49\times 7}{9\times 3}$.

$$\frac{343}{27}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Multiply $\frac{343}{27}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{343\times 7}{27\times 3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{343\times 7}{27\times 3}$.

$$\frac{2401}{81}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Multiply $\frac{2401}{81}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{2401\times 7}{81\times 3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{2401\times 7}{81\times 3}$.

$$\frac{16807}{243}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Multiply $\frac{16807}{243}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{16807\times 7}{243\times 3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{16807\times 7}{243\times 3}$.

$$\frac{117649}{729}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Multiply $\frac{117649}{729}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{117649\times 7}{729\times 3}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{117649\times 7}{729\times 3}$.

$$\frac{823543}{2187}\times \frac{7}{3}\times \frac{7}{3}\times \frac{7}{3}$$

Multiply $\frac{823543}{2187}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{823543\times 7}{2187\times 3}\times \frac{7}{3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{823543\times 7}{2187\times 3}$.

$$\frac{5764801}{6561}\times \frac{7}{3}\times \frac{7}{3}$$

Multiply $\frac{5764801}{6561}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{5764801\times 7}{6561\times 3}\times \frac{7}{3}$$

Do the multiplications in the fraction $\frac{5764801\times 7}{6561\times 3}$.

$$\frac{40353607}{19683}\times \frac{7}{3}$$

Multiply $\frac{40353607}{19683}$ times $\frac{7}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{40353607\times 7}{19683\times 3}$$

Do the multiplications in the fraction $\frac{40353607\times 7}{19683\times 3}$.

$$\frac{282475249}{59049}$$

Factor

$\frac{7 ^ {10}}{3 ^ {10}} = 4783\frac{43882}{59049} = 4783.74314552321$