Solve 1^{4}+(-2)^{4}-(-2)^3+0^7+32^0+8.2^2

$$1 ^ { 4 } + ( - 2 ) ^ { 4 } - ( - 2 ) ^ { 3 } + 0 ^ { 7 } + 32 ^ { 0 } + 8.2 ^ { 2 }$$

Evaluate

$$93.24$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

$$1+\left(-2\right)^{4}-\left(-2\right)^{3}+0^{7}+32^{0}+8.2^{2}$$

Calculate -2 to the power of 4 and get 16.

$$1+16-\left(-2\right)^{3}+0^{7}+32^{0}+8.2^{2}$$

Add 1 and 16 to get 17.

$$17-\left(-2\right)^{3}+0^{7}+32^{0}+8.2^{2}$$

Calculate -2 to the power of 3 and get -8.

$$17-\left(-8\right)+0^{7}+32^{0}+8.2^{2}$$

The opposite of -8 is 8.

$$17+8+0^{7}+32^{0}+8.2^{2}$$

Add 17 and 8 to get 25.

$$25+0^{7}+32^{0}+8.2^{2}$$

Calculate 0 to the power of 7 and get 0.

$$25+0+32^{0}+8.2^{2}$$

Add 25 and 0 to get 25.

$$25+32^{0}+8.2^{2}$$

Calculate 32 to the power of 0 and get 1.

$$25+1+8.2^{2}$$

Add 25 and 1 to get 26.

$$26+8.2^{2}$$

Calculate 8.2 to the power of 2 and get 67.24.

$$26+67.24$$

Add 26 and 67.24 to get 93.24.

$$93.24$$

Factor

$$\frac{7 \cdot 37 \cdot 3 ^ {2}}{5 ^ {2}} = 93\frac{6}{25} = 93.24$$