Solve (5.72*10^-2)(4.27*10^5)/1.72*10^2

$$\frac { ( 5.72 \times 10 ^ { - 2 } ) ( 4.27 \times 10 ^ { 5 } ) } { 1.72 \times 10 ^ { 2 } }$$

Evaluate

$$\frac{61061}{430}\approx 142.002325581$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and 5 to get 3.

$$\frac{5.72\times 10^{3}\times 4.27}{1.72\times 10^{2}}$$

Cancel out 10^{2} in both numerator and denominator.

$$\frac{4.27\times 5.72\times 10}{1.72}$$

Multiply 4.27 and 5.72 to get 24.4244.

$$\frac{24.4244\times 10}{1.72}$$

Multiply 24.4244 and 10 to get 244.244.

$$\frac{244.244}{1.72}$$

Expand \frac{244.244}{1.72} by multiplying both numerator and the denominator by 1000.

$$\frac{244244}{1720}$$

Reduce the fraction \frac{244244}{1720} to lowest terms by extracting and canceling out 4.

$$\frac{61061}{430}$$

Factor

$$\frac{7 \cdot 11 \cdot 13 \cdot 61}{2 \cdot 5 \cdot 43} = 142\frac{1}{430} = 142.00232558139535$$