Solve (-3)^{2}*(-2)^{4}+[(-1)^7+(-1)^4*(-11)div(-7)^0]*(-17)^0=

$$( - 3 ) ^ { 2 } \times ( - 2 ) ^ { 4 } + [ ( - 1 ) ^ { 7 } + ( - 1 ) ^ { 4 } \times ( - 11 ) \div ( - 7 ) ^ { 0 } ] \times ( - 17 ) ^ { 0 } =$$

Evaluate

$$132$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$9\left(-2\right)^{4}+\left(\left(-1\right)^{7}+\frac{\left(-1\right)^{4}\left(-11\right)}{\left(-7\right)^{0}}\right)\left(-17\right)^{0}$$

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

$$9\times 16+\left(\left(-1\right)^{7}+\frac{\left(-1\right)^{4}\left(-11\right)}{\left(-7\right)^{0}}\right)\left(-17\right)^{0}$$

Multiply 9 and 16 to get 144.

$$144+\left(\left(-1\right)^{7}+\frac{\left(-1\right)^{4}\left(-11\right)}{\left(-7\right)^{0}}\right)\left(-17\right)^{0}$$

Calculate -1 to the power of 7 and get -1.

$$144+\left(-1+\frac{\left(-1\right)^{4}\left(-11\right)}{\left(-7\right)^{0}}\right)\left(-17\right)^{0}$$

Calculate -1 to the power of 4 and get 1.

$$144+\left(-1+\frac{1\left(-11\right)}{\left(-7\right)^{0}}\right)\left(-17\right)^{0}$$

Multiply 1 and -11 to get -11.

$$144+\left(-1+\frac{-11}{\left(-7\right)^{0}}\right)\left(-17\right)^{0}$$

Calculate -7 to the power of 0 and get 1.

$$144+\left(-1+\frac{-11}{1}\right)\left(-17\right)^{0}$$

Anything divided by one gives itself.

$$144+\left(-1-11\right)\left(-17\right)^{0}$$

Subtract 11 from -1 to get -12.

$$144-12\left(-17\right)^{0}$$

Calculate -17 to the power of 0 and get 1.

$$144-12$$

Subtract 12 from 144 to get 132.

$$132$$

Factor

$$2^{2}\times 3\times 11$$