Solve 10^-7*2a/(0.14)^3=5.1*10^-6

$$10 ^ { - 7 } \times \frac { 2 a } { ( 0.14 ) ^ { 3 } } = 5.1 \times 10 ^ { - 6 }$$

Solve for a

$$a=0.069972$$

Steps for Solving Linear Equation

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{1}{10000000}\times \frac{2a}{0.14^{3}}=5.1\times 10^{-6}$$

Calculate 0.14 to the power of 3 and get 0.002744.

$$\frac{1}{10000000}\times \frac{2a}{0.002744}=5.1\times 10^{-6}$$

Divide 2a by 0.002744 to get \frac{250000}{343}a.

$$\frac{1}{10000000}\times \frac{250000}{343}a=5.1\times 10^{-6}$$

Multiply \frac{1}{10000000} and \frac{250000}{343} to get \frac{1}{13720}.

$$\frac{1}{13720}a=5.1\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{1}{13720}a=5.1\times \frac{1}{1000000}$$

Multiply 5.1 and \frac{1}{1000000} to get \frac{51}{10000000}.

$$\frac{1}{13720}a=\frac{51}{10000000}$$

Multiply both sides by 13720, the reciprocal of \frac{1}{13720}.

$$a=\frac{51}{10000000}\times 13720$$

Multiply \frac{51}{10000000} and 13720 to get \frac{17493}{250000}.

$$a=\frac{17493}{250000}$$