Solve 1.632*10^-8*1000div2*10^-2*10^-4

$$1.632 \times { 10 }^{ -8 } \times 1000 \div 2 \times { 10 }^{ -2 } \times { 10 }^{ -4 }$$

Evaluate

$$0.00000000000816$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -4 to get -6.

$$\frac{1.632\times 10^{-8}\times 1000}{2}\times 10^{-6}$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$\frac{1.632\times \frac{1}{100000000}\times 1000}{2}\times 10^{-6}$$

Multiply 1.632 and \frac{1}{100000000} to get \frac{51}{3125000000}.

$$\frac{\frac{51}{3125000000}\times 1000}{2}\times 10^{-6}$$

Multiply \frac{51}{3125000000} and 1000 to get \frac{51}{3125000}.

$$\frac{\frac{51}{3125000}}{2}\times 10^{-6}$$

Express \frac{\frac{51}{3125000}}{2} as a single fraction.

$$\frac{51}{3125000\times 2}\times 10^{-6}$$

Multiply 3125000 and 2 to get 6250000.

$$\frac{51}{6250000}\times 10^{-6}$$

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

$$\frac{51}{6250000}\times \frac{1}{1000000}$$

Multiply \frac{51}{6250000} and \frac{1}{1000000} to get \frac{51}{6250000000000}.

$$\frac{51}{6250000000000}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {10} \cdot 5 ^ {14}} = 8.16 \times 10^{-12}$$