Solve 107-[38+(7.3^2-24:6+(9-7)^3]):15

$$107 - [ 38 + ( 7.3 ^ { 2 } - 24 : 6 + ( 9 - 7 ) ^ { 3 } ] ) : 15$$

Evaluate

$$\frac{150971}{1500}\approx 100.647333333$$

Solution Steps

Calculate 7.3 to the power of 2 and get 53.29.

$$107-\frac{38+53.29-\frac{24}{6}+\left(9-7\right)^{3}}{15}$$

Add 38 and 53.29 to get 91.29.

$$107-\frac{91.29-\frac{24}{6}+\left(9-7\right)^{3}}{15}$$

Divide 24 by 6 to get 4.

$$107-\frac{91.29-4+\left(9-7\right)^{3}}{15}$$

Subtract 4 from 91.29 to get 87.29.

$$107-\frac{87.29+\left(9-7\right)^{3}}{15}$$

Subtract 7 from 9 to get 2.

$$107-\frac{87.29+2^{3}}{15}$$

Calculate 2 to the power of 3 and get 8.

$$107-\frac{87.29+8}{15}$$

Add 87.29 and 8 to get 95.29.

$$107-\frac{95.29}{15}$$

Expand \frac{95.29}{15} by multiplying both numerator and the denominator by 100.

$$107-\frac{9529}{1500}$$

Subtract \frac{9529}{1500} from 107 to get \frac{150971}{1500}.

$$\frac{150971}{1500}$$

Factor

$$\frac{223 \cdot 677}{3 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 100\frac{971}{1500} = 100.64733333333334$$