Solve (167*10^-27)(8*10^-3)/(91*10^-31)

$$\frac { ( 167 \times 10 ^ { - 27 } ) ( 8 \times 10 ^ { - 3 } ) } { ( 91 \times 10 ^ { - 31 } ) }$$

Evaluate

$$\frac{13360}{91}\approx 146.813186813$$

Solution Steps

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

$$\frac{167\times 10^{-30}\times 8}{91\times 10^{-31}}$$

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

$$\frac{8\times 167\times 10^{1}}{91}$$

Multiply 8 and 167 to get 1336.

$$\frac{1336\times 10^{1}}{91}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{1336\times 10}{91}$$

Multiply 1336 and 10 to get 13360.

$$\frac{13360}{91}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 167}{7 \cdot 13} = 146\frac{74}{91} = 146.8131868131868$$