Solve -4*10^-2*13*6*10^3*9.81*2.5*10^-3/4*0.52

$$\frac { - 4 \times 10 ^ { - 2 } \times 13 \cdot 6 \times 10 ^ { 3 } \times 9.81 \times 2.5 \times 10 ^ { - 3 } } { 4 \times 0.52 }$$

Evaluate

$$-36.7875$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and 3 to get 1.

$$\frac{-4\times 10^{1}\times 13\times 6\times 9.81\times 2.5\times 10^{-3}}{4\times 0.52}$$

To multiply powers of the same base, add their exponents. Add 1 and -3 to get -2.

$$\frac{-4\times 10^{-2}\times 13\times 6\times 9.81\times 2.5}{4\times 0.52}$$

Cancel out 4 in both numerator and denominator.

$$\frac{-2.5\times 6\times 9.81\times 13\times 10^{-2}}{0.52}$$

Multiply -2.5 and 6 to get -15.

$$\frac{-15\times 9.81\times 13\times 10^{-2}}{0.52}$$

Multiply -15 and 9.81 to get -147.15.

$$\frac{-147.15\times 13\times 10^{-2}}{0.52}$$

Multiply -147.15 and 13 to get -1912.95.

$$\frac{-1912.95\times 10^{-2}}{0.52}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{-1912.95\times \frac{1}{100}}{0.52}$$

Multiply -1912.95 and \frac{1}{100} to get -\frac{38259}{2000}.

$$\frac{-\frac{38259}{2000}}{0.52}$$

Express \frac{-\frac{38259}{2000}}{0.52} as a single fraction.

$$\frac{-38259}{2000\times 0.52}$$

Multiply 2000 and 0.52 to get 1040.

$$\frac{-38259}{1040}$$

Reduce the fraction \frac{-38259}{1040} to lowest terms by extracting and canceling out 13.

$$-\frac{2943}{80}$$

Factor

$$-36.7875$$