Solve 30*0.15/810^7frac{0.03^4{32}}

$$\frac{ 30 \cdot 0.15 }{ 8 { 10 }^{ 7 } \frac{ { 0.03 }^{ 4 } }{ 32 } }$$

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Solution Steps

Multiply 30 and 0.15 to get 4.5.

$$\frac{4.5}{8\times 10^{7}\times \frac{0.03^{4}}{32}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{4.5}{8\times 10000000\times \frac{0.03^{4}}{32}}$$

Multiply 8 and 10000000 to get 80000000.

$$\frac{4.5}{80000000\times \frac{0.03^{4}}{32}}$$

Calculate 0.03 to the power of 4 and get 0.00000081.

$$\frac{4.5}{80000000\times \frac{0.00000081}{32}}$$

Expand \frac{0.00000081}{32} by multiplying both numerator and the denominator by 100000000.

$$\frac{4.5}{80000000\times \frac{81}{3200000000}}$$

Express 80000000\times \frac{81}{3200000000} as a single fraction.

$$\frac{4.5}{\frac{80000000\times 81}{3200000000}}$$

Multiply 80000000 and 81 to get 6480000000.

$$\frac{4.5}{\frac{6480000000}{3200000000}}$$

Reduce the fraction \frac{6480000000}{3200000000} to lowest terms by extracting and canceling out 80000000.

$$\frac{4.5}{\frac{81}{40}}$$

Divide 4.5 by \frac{81}{40} by multiplying 4.5 by the reciprocal of \frac{81}{40}.

$$4.5\times \frac{40}{81}$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}\times \frac{40}{81}$$

Multiply \frac{9}{2} times \frac{40}{81} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 40}{2\times 81}$$

Do the multiplications in the fraction \frac{9\times 40}{2\times 81}.

$$\frac{360}{162}$$

Reduce the fraction \frac{360}{162} to lowest terms by extracting and canceling out 18.

$$\frac{20}{9}$$

Factor

$$\frac{5 \cdot 2 ^ {2}}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$