Solve (246*10^-6)*(401*10^-5)

$$( 246 \times 10 ^ { - 6 } ) \times ( 401 \times 10 ^ { - 5 } )$$

Evaluate

$$\frac{49323}{50000000000}\approx 0.000000986$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -5 to get -11.

$$246\times 10^{-11}\times 401$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$246\times \frac{1}{100000000000}\times 401$$

Multiply 246 and \frac{1}{100000000000} to get \frac{123}{50000000000}.

$$\frac{123}{50000000000}\times 401$$

Multiply \frac{123}{50000000000} and 401 to get \frac{49323}{50000000000}.

$$\frac{49323}{50000000000}$$

Factor

$$\frac{3 \cdot 41 \cdot 401}{2 ^ {10} \cdot 5 ^ {11}} = 9.8646 \times 10^{-7}$$