Solve 0.98*5.67*10^-8*3.02*298.15^4

$$0.98 \times 5.67 \times 10 ^ { - 8 } \times 3.02 \times 298.15 ^ { 4 }$$

Evaluate

$$1326.03605361757062462825$$

Solution Steps

Multiply 0.98 and 5.67 to get 5.5566.

$$5.5566\times 10^{-8}\times 3.02\times 298.15^{4}$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$5.5566\times \frac{1}{100000000}\times 3.02\times 298.15^{4}$$

Multiply 5.5566 and \frac{1}{100000000} to get \frac{27783}{500000000000}.

$$\frac{27783}{500000000000}\times 3.02\times 298.15^{4}$$

Multiply \frac{27783}{500000000000} and 3.02 to get \frac{4195233}{25000000000000}.

$$\frac{4195233}{25000000000000}\times 298.15^{4}$$

Calculate 298.15 to the power of 4 and get 7902040563.76350625.

$$\frac{4195233}{25000000000000}\times 7902040563.76350625$$

Multiply \frac{4195233}{25000000000000} and 7902040563.76350625 to get \frac{5304144214470282498513}{4000000000000000000}.

$$\frac{5304144214470282498513}{4000000000000000000}$$

Factor

$$\frac{151 \cdot 3 ^ {4} \cdot 7 ^ {3} \cdot 67 ^ {4} \cdot 89 ^ {4}}{2 ^ {20} \cdot 5 ^ {18}} = 1326\frac{1.442144702829691 \times 10^{17}}{4 \times 10^{18}} = 1326.0360536175708$$