Solve -16(10^2)+10^4/4+12.5(10^2)+10^4/4

$$-16( { 10 }^{ 2 } )+ \frac{ { 10 }^{ 4 } }{ 4 } +12.5( { 10 }^{ 2 } )+ \frac{ { 10 }^{ 4 } }{ 4 }$$

Evaluate

$$4650$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$-16\times 100+\frac{10^{4}}{4}+12.5\times 10^{2}+\frac{10^{4}}{4}$$

Multiply -16 and 100 to get -1600.

$$-1600+\frac{10^{4}}{4}+12.5\times 10^{2}+\frac{10^{4}}{4}$$

Calculate 10 to the power of 4 and get 10000.

$$-1600+\frac{10000}{4}+12.5\times 10^{2}+\frac{10^{4}}{4}$$

Divide 10000 by 4 to get 2500.

$$-1600+2500+12.5\times 10^{2}+\frac{10^{4}}{4}$$

Add -1600 and 2500 to get 900.

$$900+12.5\times 10^{2}+\frac{10^{4}}{4}$$

Calculate 10 to the power of 2 and get 100.

$$900+12.5\times 100+\frac{10^{4}}{4}$$

Multiply 12.5 and 100 to get 1250.

$$900+1250+\frac{10^{4}}{4}$$

Add 900 and 1250 to get 2150.

$$2150+\frac{10^{4}}{4}$$

Calculate 10 to the power of 4 and get 10000.

$$2150+\frac{10000}{4}$$

Divide 10000 by 4 to get 2500.

$$2150+2500$$

Add 2150 and 2500 to get 4650.

$$4650$$

Factor

$$2\times 3\times 31\times 5^{2}$$