Solve (1.67*10^-27)(8*10^-3)/(9.1*10^-31)

$$\frac { ( 1.67 \times 10 ^ { - 27 } ) ( 8 \times 10 ^ { - 3 } ) } { ( 9.1 \times 10 ^ { - 31 } ) }$$

Evaluate

$$\frac{1336}{91}\approx 14.681318681$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -27 and -3 to get -30.

$$\frac{1.67\times 10^{-30}\times 8}{9.1\times 10^{-31}}$$

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

$$\frac{1.67\times 8\times 10^{1}}{9.1}$$

Multiply 1.67 and 8 to get 13.36.

$$\frac{13.36\times 10^{1}}{9.1}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{13.36\times 10}{9.1}$$

Multiply 13.36 and 10 to get 133.6.

$$\frac{133.6}{9.1}$$

Expand \frac{133.6}{9.1} by multiplying both numerator and the denominator by 10.

$$\frac{1336}{91}$$

Factor

$$\frac{167 \cdot 2 ^ {3}}{7 \cdot 13} = 14\frac{62}{91} = 14.68131868131868$$