Solve 0.003996*5.67*10^-8*(300^4-4^4)=

$$0.003996 \times 5.67 \times { 10 }^{ -8 } \times ( { 300 }^{ 4 } - { 4 }^{ 4 } )=$$

Evaluate

$$1.8352428619972608$$

Solution Steps

Multiply 0.003996 and 5.67 to get 0.02265732.

$$0.02265732\times 10^{-8}\left(300^{4}-4^{4}\right)$$

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

$$0.02265732\times \frac{1}{100000000}\left(300^{4}-4^{4}\right)$$

Multiply 0.02265732 and \frac{1}{100000000} to get \frac{566433}{2500000000000000}.

$$\frac{566433}{2500000000000000}\left(300^{4}-4^{4}\right)$$

Calculate 300 to the power of 4 and get 8100000000.

$$\frac{566433}{2500000000000000}\left(8100000000-4^{4}\right)$$

Calculate 4 to the power of 4 and get 256.

$$\frac{566433}{2500000000000000}\left(8100000000-256\right)$$

Subtract 256 from 8100000000 to get 8099999744.

$$\frac{566433}{2500000000000000}\times 8099999744$$

Multiply \frac{566433}{2500000000000000} and 8099999744 to get \frac{1120143348387}{610351562500}.

$$\frac{1120143348387}{610351562500}$$

Factor

$$\frac{7 \cdot 19 \cdot 29 \cdot 97 \cdot 3 ^ {7} \cdot 37 ^ {2}}{2 ^ {2} \cdot 5 ^ {16}} = 1\frac{509791785887}{610351562500} = 1.8352428619972607$$