Solve 9*10^4(-20*10^-6)/4*33+9*10^9(40*10^-6)/4*73

$$\frac { 9 \cdot 10 ^ { 4 } ( - 20 \cdot 10 ^ { - 6 } ) } { 4 \cdot 33 } + \frac { 9 \cdot 10 ^ { 9 } ( 40 \cdot 10 ^ { - 6 } ) } { 4 \cdot 73 }$$

Evaluate

$$\frac{19799781}{16060}\approx 1232.863075965$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and -6 to get -2.

$$\frac{9\times 10^{-2}\left(-20\right)}{4\times 33}+\frac{9\times 10^{9}\times 40\times 10^{-6}}{4\times 73}$$

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$\frac{9\times 10^{-2}\left(-20\right)}{4\times 33}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

Cancel out 3\times 4 in both numerator and denominator.

$$\frac{-5\times 3\times 10^{-2}}{11}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

Multiply -5 and 3 to get -15.

$$\frac{-15\times 10^{-2}}{11}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

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

$$\frac{-15\times \frac{1}{100}}{11}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

Multiply -15 and \frac{1}{100} to get -\frac{3}{20}.

$$\frac{-\frac{3}{20}}{11}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

Express \frac{-\frac{3}{20}}{11} as a single fraction.

$$\frac{-3}{20\times 11}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

Multiply 20 and 11 to get 220.

$$\frac{-3}{220}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

Fraction \frac{-3}{220} can be rewritten as -\frac{3}{220} by extracting the negative sign.

$$-\frac{3}{220}+\frac{9\times 10^{3}\times 40}{4\times 73}$$

Cancel out 4 in both numerator and denominator.

$$-\frac{3}{220}+\frac{9\times 10\times 10^{3}}{73}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$-\frac{3}{220}+\frac{9\times 10^{4}}{73}$$

Calculate 10 to the power of 4 and get 10000.

$$-\frac{3}{220}+\frac{9\times 10000}{73}$$

Multiply 9 and 10000 to get 90000.

$$-\frac{3}{220}+\frac{90000}{73}$$

Add -\frac{3}{220} and \frac{90000}{73} to get \frac{19799781}{16060}.

$$\frac{19799781}{16060}$$

Factor

$$\frac{3 \cdot 17 \cdot 388231}{2 ^ {2} \cdot 5 \cdot 11 \cdot 73} = 1232\frac{13861}{16060} = 1232.8630759651307$$