Solve x10^141.6710^-274/33.1415left(6.9610^8right)^3/1.2{10^-23}

$$\frac{ x { 10 }^{ 14 } 1.67 { 10 }^{ -27 } \frac{ 4 }{ 3 } 3.1415 { \left(6.96 { 10 }^{ 8 } \right) }^{ 3 } }{ 1.2 { 10 }^{ -23 } }$$

Evaluate

$$19653447574272000000000000000000000000x$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 14 and -27 to get -13.

$$\frac{x\times 10^{-13}\times 1.67\times \frac{4}{3}\times 3.1415\times \left(6.96\times 10^{8}\right)^{3}}{1.2\times 10^{-23}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\frac{4}{3}\times 1.67\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiply \frac{4}{3} and 1.67 to get \frac{167}{75}.

$$\frac{\frac{167}{75}\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiply \frac{167}{75} and 3.1415 to get \frac{1049261}{150000}.

$$\frac{\frac{1049261}{150000}\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{\frac{1049261}{150000}\times 10000000000\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiply \frac{1049261}{150000} and 10000000000 to get \frac{209852200000}{3}.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 100000000\right)^{3}x}{1.2}$$

Multiply 6.96 and 100000000 to get 696000000.

$$\frac{\frac{209852200000}{3}\times 696000000^{3}x}{1.2}$$

Calculate 696000000 to the power of 3 and get 337153536000000000000000000.

$$\frac{\frac{209852200000}{3}\times 337153536000000000000000000x}{1.2}$$

Multiply \frac{209852200000}{3} and 337153536000000000000000000 to get 23584137089126400000000000000000000000.

$$\frac{23584137089126400000000000000000000000x}{1.2}$$

Divide 23584137089126400000000000000000000000x by 1.2 to get 19653447574272000000000000000000000000x.

$$19653447574272000000000000000000000000x$$

Expand

$$19653447574272000000000000000000000000x$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 14 and -27 to get -13.

$$\frac{x\times 10^{-13}\times 1.67\times \frac{4}{3}\times 3.1415\times \left(6.96\times 10^{8}\right)^{3}}{1.2\times 10^{-23}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\frac{4}{3}\times 1.67\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiply \frac{4}{3} and 1.67 to get \frac{167}{75}.

$$\frac{\frac{167}{75}\times 3.1415\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiply \frac{167}{75} and 3.1415 to get \frac{1049261}{150000}.

$$\frac{\frac{1049261}{150000}\times 10^{10}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{\frac{1049261}{150000}\times 10000000000\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Multiply \frac{1049261}{150000} and 10000000000 to get \frac{209852200000}{3}.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 10^{8}\right)^{3}x}{1.2}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\frac{209852200000}{3}\times \left(6.96\times 100000000\right)^{3}x}{1.2}$$

Multiply 6.96 and 100000000 to get 696000000.

$$\frac{\frac{209852200000}{3}\times 696000000^{3}x}{1.2}$$

Calculate 696000000 to the power of 3 and get 337153536000000000000000000.

$$\frac{\frac{209852200000}{3}\times 337153536000000000000000000x}{1.2}$$

Multiply \frac{209852200000}{3} and 337153536000000000000000000 to get 23584137089126400000000000000000000000.

$$\frac{23584137089126400000000000000000000000x}{1.2}$$

Divide 23584137089126400000000000000000000000x by 1.2 to get 19653447574272000000000000000000000000x.

$$19653447574272000000000000000000000000x$$