Solve 1((7*10^-1)(3*10^-1)/10^2)

$$1( \frac{ (7 \times { 10 }^{ -1 } )(3 \times { 10 }^{ -1 } ) }{ { 10 }^{ 2 } } )$$

Evaluate

$$\frac{21}{10000}=0.0021$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -1 and -1 to get -2.

$$1\times \frac{7\times 10^{-2}\times 3}{10^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$1\times \frac{3\times 7}{10^{4}}$$

Multiply 3 and 7 to get 21.

$$1\times \frac{21}{10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$1\times \frac{21}{10000}$$

Multiply 1 and \frac{21}{10000} to get \frac{21}{10000}.

$$\frac{21}{10000}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {4} \cdot 5 ^ {4}} = 0.0021$$