Solve 0.16*0.08left(0.42^2-0.26^2-0.08^2right)/6*1.9610^110.42{10^-6}

$$\frac{ 0.16 \cdot 0.08 \left( { 0.42 }^{ 2 } - { 0.26 }^{ 2 } - { 0.08 }^{ 2 } \right) }{ 6 \cdot 1.96 { 10 }^{ 11 } 0.42 { 10 }^{ -6 } }$$

Evaluate

$$\frac{16}{6029296875}\approx 2.653709103 \cdot 10^{-9}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 11 and -6 to get 5.

$$\frac{0.16\times 0.08\left(0.42^{2}-0.26^{2}-0.08^{2}\right)}{6\times 1.96\times 10^{5}\times 0.42}$$

Multiply 0.16 and 0.08 to get 0.0128.

$$\frac{0.0128\left(0.42^{2}-0.26^{2}-0.08^{2}\right)}{6\times 1.96\times 10^{5}\times 0.42}$$

Calculate 0.42 to the power of 2 and get 0.1764.

$$\frac{0.0128\left(0.1764-0.26^{2}-0.08^{2}\right)}{6\times 1.96\times 10^{5}\times 0.42}$$

Calculate 0.26 to the power of 2 and get 0.0676.

$$\frac{0.0128\left(0.1764-0.0676-0.08^{2}\right)}{6\times 1.96\times 10^{5}\times 0.42}$$

Subtract 0.0676 from 0.1764 to get 0.1088.

$$\frac{0.0128\left(0.1088-0.08^{2}\right)}{6\times 1.96\times 10^{5}\times 0.42}$$

Calculate 0.08 to the power of 2 and get 0.0064.

$$\frac{0.0128\left(0.1088-0.0064\right)}{6\times 1.96\times 10^{5}\times 0.42}$$

Subtract 0.0064 from 0.1088 to get 0.1024.

$$\frac{0.0128\times 0.1024}{6\times 1.96\times 10^{5}\times 0.42}$$

Multiply 0.0128 and 0.1024 to get 0.00131072.

$$\frac{0.00131072}{6\times 1.96\times 10^{5}\times 0.42}$$

Multiply 6 and 1.96 to get 11.76.

$$\frac{0.00131072}{11.76\times 10^{5}\times 0.42}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{0.00131072}{11.76\times 100000\times 0.42}$$

Multiply 11.76 and 100000 to get 1176000.

$$\frac{0.00131072}{1176000\times 0.42}$$

Multiply 1176000 and 0.42 to get 493920.

$$\frac{0.00131072}{493920}$$

Expand \frac{0.00131072}{493920} by multiplying both numerator and the denominator by 100000000.

$$\frac{131072}{49392000000000}$$

Reduce the fraction \frac{131072}{49392000000000} to lowest terms by extracting and canceling out 8192.

$$\frac{16}{6029296875}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2} \cdot 5 ^ {9} \cdot 7 ^ {3}} = 2.653709102688694 \times 10^{-9}$$