Solve (1.15*10^-3)(2(1.15*10^-3))

$$(1.15 \times { 10 }^{ -3 } )(2(1.15 \times { 10 }^{ -3 } ))$$

Evaluate

$$0.000002645$$

Solution Steps

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

$$1.15\times 10^{-6}\times 2\times 1.15$$

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

$$1.15\times \frac{1}{1000000}\times 2\times 1.15$$

Multiply 1.15 and \frac{1}{1000000} to get \frac{23}{20000000}.

$$\frac{23}{20000000}\times 2\times 1.15$$

Multiply \frac{23}{20000000} and 2 to get \frac{23}{10000000}.

$$\frac{23}{10000000}\times 1.15$$

Multiply \frac{23}{10000000} and 1.15 to get \frac{529}{200000000}.

$$\frac{529}{200000000}$$

Factor

$$\frac{23 ^ {2}}{2 ^ {9} \cdot 5 ^ {8}} = 2.645 \times 10^{-6}$$