Solve 9^{0}*0^{6}+15^{1}*2^{0}+3^1-24^4:12^4+5^0

$$9 ^ { 0 } \cdot 0 ^ { 6 } + 15 ^ { 1 } \cdot 2 ^ { 0 } + 3 ^ { 1 } - 24 ^ { 4 } : 12 ^ { 4 } + 5 ^ { 0 }$$

Evaluate

$$3$$

Solution Steps

Calculate 9 to the power of 0 and get 1.

$$1\times 0^{6}+15^{1}\times 2^{0}+3^{1}-\frac{24^{4}}{12^{4}}+5^{0}$$

Calculate 0 to the power of 6 and get 0.

$$1\times 0+15^{1}\times 2^{0}+3^{1}-\frac{24^{4}}{12^{4}}+5^{0}$$

Multiply 1 and 0 to get 0.

$$0+15^{1}\times 2^{0}+3^{1}-\frac{24^{4}}{12^{4}}+5^{0}$$

Calculate 15 to the power of 1 and get 15.

$$0+15\times 2^{0}+3^{1}-\frac{24^{4}}{12^{4}}+5^{0}$$

Calculate 2 to the power of 0 and get 1.

$$0+15\times 1+3^{1}-\frac{24^{4}}{12^{4}}+5^{0}$$

Multiply 15 and 1 to get 15.

$$0+15+3^{1}-\frac{24^{4}}{12^{4}}+5^{0}$$

Add 0 and 15 to get 15.

$$15+3^{1}-\frac{24^{4}}{12^{4}}+5^{0}$$

Calculate 3 to the power of 1 and get 3.

$$15+3-\frac{24^{4}}{12^{4}}+5^{0}$$

Add 15 and 3 to get 18.

$$18-\frac{24^{4}}{12^{4}}+5^{0}$$

Calculate 24 to the power of 4 and get 331776.

$$18-\frac{331776}{12^{4}}+5^{0}$$

Calculate 12 to the power of 4 and get 20736.

$$18-\frac{331776}{20736}+5^{0}$$

Divide 331776 by 20736 to get 16.

$$18-16+5^{0}$$

Subtract 16 from 18 to get 2.

$$2+5^{0}$$

Calculate 5 to the power of 0 and get 1.

$$2+1$$

Add 2 and 1 to get 3.

$$3$$

Factor

$$3$$