Solve (1.75*10^-2)(8*10^-8)

$$( 1.75 \times 10 ^ { - 2 } ) ( 8 \times 10 ^ { - 8 } )$$

Evaluate

$$0.0000000014$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -8 to get -10.

$$1.75\times 10^{-10}\times 8$$

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$1.75\times \frac{1}{10000000000}\times 8$$

Multiply 1.75 and \frac{1}{10000000000} to get \frac{7}{40000000000}.

$$\frac{7}{40000000000}\times 8$$

Multiply \frac{7}{40000000000} and 8 to get \frac{7}{5000000000}.

$$\frac{7}{5000000000}$$

Factor

$$\frac{7}{2 ^ {9} \cdot 5 ^ {10}} = 1.4 \times 10^{-9}$$