Solve {l}{(-1/3)^{-2}+4*(-1)^{2019}+(pi-2020)^{0}}{-3^2+(-0.25)^100*4^100+(1/6)^-2}

$$\left. \begin{array} { l } { ( - \frac { 1 } { 3 } ) ^ { - 2 } + 4 \times ( - 1 ) ^ { 2019 } + ( \pi - 2020 ) ^ { 0 } } \\ { - 3 ^ { 2 } + ( - 0.25 ) ^ { 100 } \times 4 ^ { 100 } + ( \frac { 1 } { 6 } ) ^ { - 2 } } \end{array} \right.$$

Evaluate

$$34$$

Solution Steps

Calculate -\frac{1}{3} to the power of -2 and get 9.

$$9+4\left(-1\right)^{2019}+\left(\pi -2020\right)^{0}-3^{2}+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Calculate -1 to the power of 2019 and get -1.

$$9+4\left(-1\right)+\left(\pi -2020\right)^{0}-3^{2}+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Multiply 4 and -1 to get -4.

$$9-4+\left(\pi -2020\right)^{0}-3^{2}+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Subtract 4 from 9 to get 5.

$$5+\left(\pi -2020\right)^{0}-3^{2}+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Calculate \pi -2020 to the power of 0 and get 1.

$$5+1-3^{2}+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Add 5 and 1 to get 6.

$$6-3^{2}+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Calculate 3 to the power of 2 and get 9.

$$6-9+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Subtract 9 from 6 to get -3.

$$-3+\left(-0.25\right)^{100}\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Calculate -0.25 to the power of 100 and get 0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625.

$$-3+0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625\times 4^{100}+\left(\frac{1}{6}\right)^{-2}$$

Calculate 4 to the power of 100 and get 1606938044258990275541962092341162602522202993782792835301376.

$$-3+0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625\times 1606938044258990275541962092341162602522202993782792835301376+\left(\frac{1}{6}\right)^{-2}$$

Multiply 0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625 and 1606938044258990275541962092341162602522202993782792835301376 to get 1.

$$-3+1+\left(\frac{1}{6}\right)^{-2}$$

Add -3 and 1 to get -2.

$$-2+\left(\frac{1}{6}\right)^{-2}$$

Calculate \frac{1}{6} to the power of -2 and get 36.

$$-2+36$$

Add -2 and 36 to get 34.

$$34$$

Factor

$$2\times 17$$