Solve (9.00)^2(6.95)^2/(6.39)^4(4.43)

$$\frac { ( 9.00 ) ^ { 2 } ( 6.95 ) ^ { 2 } } { ( 6.39 ) ^ { 4 } } ( 4.43 )$$

Evaluate

$$\frac{21398007500}{2058346161}\approx 10.395728331$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\frac{81\times 6.95^{2}}{6.39^{4}}\times 4.43$$

Calculate 6.95 to the power of 2 and get 48.3025.

$$\frac{81\times 48.3025}{6.39^{4}}\times 4.43$$

Multiply 81 and 48.3025 to get 3912.5025.

$$\frac{3912.5025}{6.39^{4}}\times 4.43$$

Calculate 6.39 to the power of 4 and get 1667.26039041.

$$\frac{3912.5025}{1667.26039041}\times 4.43$$

Expand \frac{3912.5025}{1667.26039041} by multiplying both numerator and the denominator by 100000000.

$$\frac{391250250000}{166726039041}\times 4.43$$

Reduce the fraction \frac{391250250000}{166726039041} to lowest terms by extracting and canceling out 81.

$$\frac{4830250000}{2058346161}\times 4.43$$

Convert decimal number 4.43 to fraction \frac{443}{100}.

$$\frac{4830250000}{2058346161}\times \frac{443}{100}$$

Multiply \frac{4830250000}{2058346161} times \frac{443}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4830250000\times 443}{2058346161\times 100}$$

Do the multiplications in the fraction \frac{4830250000\times 443}{2058346161\times 100}.

$$\frac{2139800750000}{205834616100}$$

Reduce the fraction \frac{2139800750000}{205834616100} to lowest terms by extracting and canceling out 100.

$$\frac{21398007500}{2058346161}$$

Factor

$$\frac{443 \cdot 2 ^ {2} \cdot 5 ^ {4} \cdot 139 ^ {2}}{3 ^ {4} \cdot 71 ^ {4}} = 10\frac{814545890}{2058346161} = 10.395728330556544$$