Solve (5*10-4)(6*10^7)*10^2/(3*10^6)(20*10^-3)

$$\frac { ( 5 \times 10 - 4 ) ( 6 \times 10 ^ { 7 } ) \times 10 ^ { 2 } } { ( 3 \times 10 ^ { 6 } ) ( 20 \times 10 ^ { - 3 } ) }$$

Evaluate

$$4600000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and 2 to get 9.

$$\frac{\left(5\times 10-4\right)\times 6\times 10^{9}}{3\times 10^{6}\times 20\times 10^{-3}}$$

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

$$\frac{\left(5\times 10-4\right)\times 6\times 10^{9}}{3\times 10^{3}\times 20}$$

Cancel out 2\times 3\times 10\times 10^{3} in both numerator and denominator.

$$10^{5}\left(5\times 10-4\right)$$

Use the distributive property to multiply 10^{5} by 5\times 10-4.

$$5000000-4\times 10^{5}$$

Calculate 10 to the power of 5 and get 100000.

$$5000000-4\times 100000$$

Multiply -4 and 100000 to get -400000.

$$5000000-400000$$

Subtract 400000 from 5000000 to get 4600000.

$$4600000$$

Factor

$$2^{6}\times 5^{5}\times 23$$