Solve 5.1210^-32*5.1210^-3

$$5.12 { 10 }^{ -3 } 2 \cdot 5.12 { 10 }^{ -3 }$$

Evaluate

$$0.0000524288$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -3 to get -6.

$$5.12\times 10^{-6}\times 2\times 5.12$$

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

$$5.12\times \frac{1}{1000000}\times 2\times 5.12$$

Multiply 5.12 and \frac{1}{1000000} to get \frac{2}{390625}.

$$\frac{2}{390625}\times 2\times 5.12$$

Multiply \frac{2}{390625} and 2 to get \frac{4}{390625}.

$$\frac{4}{390625}\times 5.12$$

Multiply \frac{4}{390625} and 5.12 to get \frac{512}{9765625}.

$$\frac{512}{9765625}$$

Factor

$$\frac{2 ^ {9}}{5 ^ {10}} = 5.2428799999999995 \times 10^{-5}$$