Solve frac{2^2[7*3*10^-5]{(8*2*10^-12)}}{1*5}

$$\frac { 2 ^ { 2 } [ 7 \cdot 3 \times 10 ^ { - 5 } ] { ( 8 \cdot 2 \times 10 ^ { - 12 } ) } } { 1 \cdot 5 }$$

Evaluate

$$\frac{21}{7812500000000000}=2.688 \cdot 10^{-15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{2^{3}\times 7\times 3\times 10^{-5}\times 8\times 10^{-12}}{1\times 5}$$

To multiply powers of the same base, add their exponents. Add -5 and -12 to get -17.

$$\frac{2^{3}\times 7\times 3\times 10^{-17}\times 8}{1\times 5}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{8\times 7\times 3\times 10^{-17}\times 8}{1\times 5}$$

Multiply 8 and 7 to get 56.

$$\frac{56\times 3\times 10^{-17}\times 8}{1\times 5}$$

Multiply 56 and 3 to get 168.

$$\frac{168\times 10^{-17}\times 8}{1\times 5}$$

Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.

$$\frac{168\times \frac{1}{100000000000000000}\times 8}{1\times 5}$$

Multiply 168 and \frac{1}{100000000000000000} to get \frac{21}{12500000000000000}.

$$\frac{\frac{21}{12500000000000000}\times 8}{1\times 5}$$

Multiply \frac{21}{12500000000000000} and 8 to get \frac{21}{1562500000000000}.

$$\frac{\frac{21}{1562500000000000}}{1\times 5}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{21}{1562500000000000}}{5}$$

Express \frac{\frac{21}{1562500000000000}}{5} as a single fraction.

$$\frac{21}{1562500000000000\times 5}$$

Multiply 1562500000000000 and 5 to get 7812500000000000.

$$\frac{21}{7812500000000000}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {11} \cdot 5 ^ {18}} = 2.6879999999999997 \times 10^{-15}$$