Solve 70*10^-6/7+40*70^-6/1

$$\frac { 70 \cdot 10 ^ { - 6 } } { 7 } + \frac { 40 \cdot 70 ^ { - 6 } } { 1 }$$

Evaluate

$$\frac{117653}{11764900000}\approx 0.00001$$

Solution Steps

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

$$\frac{70\times \frac{1}{1000000}}{7}+\frac{40\times 70^{-6}}{1}$$

Multiply 70 and \frac{1}{1000000} to get \frac{7}{100000}.

$$\frac{\frac{7}{100000}}{7}+\frac{40\times 70^{-6}}{1}$$

Express \frac{\frac{7}{100000}}{7} as a single fraction.

$$\frac{7}{100000\times 7}+\frac{40\times 70^{-6}}{1}$$

Cancel out 7 in both numerator and denominator.

$$\frac{1}{100000}+\frac{40\times 70^{-6}}{1}$$

Calculate 70 to the power of -6 and get \frac{1}{117649000000}.

$$\frac{1}{100000}+\frac{40\times \frac{1}{117649000000}}{1}$$

Multiply 40 and \frac{1}{117649000000} to get \frac{1}{2941225000}.

$$\frac{1}{100000}+\frac{\frac{1}{2941225000}}{1}$$

Anything divided by one gives itself.

$$\frac{1}{100000}+\frac{1}{2941225000}$$

Add \frac{1}{100000} and \frac{1}{2941225000} to get \frac{117653}{11764900000}.

$$\frac{117653}{11764900000}$$

Factor

$$\frac{29 \cdot 4057}{2 ^ {5} \cdot 5 ^ {5} \cdot 7 ^ {6}} = 1.0000339994390093 \times 10^{-5}$$