Solve 6^217.5+10^22.5+16^25+6^27.5+6*50

$${ 6 }^{ 2 } 17.5+ { 10 }^{ 2 } 2.5+ { 16 }^{ 2 } 5+ { 6 }^{ 2 } 7.5+6 \cdot 50$$

Evaluate

$$2730$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$36\times 17.5+10^{2}\times 2.5+16^{2}\times 5+6^{2}\times 7.5+6\times 50$$

Multiply 36 and 17.5 to get 630.

$$630+10^{2}\times 2.5+16^{2}\times 5+6^{2}\times 7.5+6\times 50$$

Calculate 10 to the power of 2 and get 100.

$$630+100\times 2.5+16^{2}\times 5+6^{2}\times 7.5+6\times 50$$

Multiply 100 and 2.5 to get 250.

$$630+250+16^{2}\times 5+6^{2}\times 7.5+6\times 50$$

Add 630 and 250 to get 880.

$$880+16^{2}\times 5+6^{2}\times 7.5+6\times 50$$

Calculate 16 to the power of 2 and get 256.

$$880+256\times 5+6^{2}\times 7.5+6\times 50$$

Multiply 256 and 5 to get 1280.

$$880+1280+6^{2}\times 7.5+6\times 50$$

Add 880 and 1280 to get 2160.

$$2160+6^{2}\times 7.5+6\times 50$$

Calculate 6 to the power of 2 and get 36.

$$2160+36\times 7.5+6\times 50$$

Multiply 36 and 7.5 to get 270.

$$2160+270+6\times 50$$

Add 2160 and 270 to get 2430.

$$2430+6\times 50$$

Multiply 6 and 50 to get 300.

$$2430+300$$

Add 2430 and 300 to get 2730.

$$2730$$

Factor

$$2\times 3\times 5\times 7\times 13$$