Solve 310^-5510^-3

$$3 { 10 }^{ -5 } 5 { 10 }^{ -3 }$$

Evaluate

$$\frac{3}{20000000}=0.00000015$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -3 to get -8.

$$3\times 10^{-8}\times 5$$

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

$$3\times \frac{1}{100000000}\times 5$$

Multiply 3 and \frac{1}{100000000} to get \frac{3}{100000000}.

$$\frac{3}{100000000}\times 5$$

Multiply \frac{3}{100000000} and 5 to get \frac{3}{20000000}.

$$\frac{3}{20000000}$$

Factor

$$\frac{3}{2 ^ {8} \cdot 5 ^ {7}} = 1.5 \times 10^{-7}$$