Solve 8,40*10^4/2,4*10^-3+2,7*10^7-9.0*10^6

$$\frac { 8,40 \times 10 ^ { 4 } } { 2,4 \times 10 ^ { - 3 } } + 2,7 \times 10 ^ { 7 } - 9.0 \times 10 ^ { 6 }$$

Evaluate

$$53000000$$

Solution Steps

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

$$\frac{8.4\times 10^{7}}{2.4}+2.7\times 10^{7}-9\times 10^{6}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{8.4\times 10000000}{2.4}+2.7\times 10^{7}-9\times 10^{6}$$

Multiply 8.4 and 10000000 to get 84000000.

$$\frac{84000000}{2.4}+2.7\times 10^{7}-9\times 10^{6}$$

Expand \frac{84000000}{2.4} by multiplying both numerator and the denominator by 10.

$$\frac{840000000}{24}+2.7\times 10^{7}-9\times 10^{6}$$

Divide 840000000 by 24 to get 35000000.

$$35000000+2.7\times 10^{7}-9\times 10^{6}$$

Calculate 10 to the power of 7 and get 10000000.

$$35000000+2.7\times 10000000-9\times 10^{6}$$

Multiply 2.7 and 10000000 to get 27000000.

$$35000000+27000000-9\times 10^{6}$$

Add 35000000 and 27000000 to get 62000000.

$$62000000-9\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$62000000-9\times 1000000$$

Multiply 9 and 1000000 to get 9000000.

$$62000000-9000000$$

Subtract 9000000 from 62000000 to get 53000000.

$$53000000$$

Factor

$$53\times 2^{6}\times 5^{6}$$