Solve -48-121^{2}-[(-29)div(-11)]^{2}-[(-2)^{2}]^3+(-3^0)^10-[2(-5)]^2

$$- 48 - 121 ^ { 2 } - [ ( - 29 ) \div ( - 11 ) ] ^ { 2 } - [ ( - 2 ) ^ { 2 } ] ^ { 3 } + ( - 3 ^ { 0 } ) ^ { 10 } - [ 2 ( - 5 ) ] ^ { 2 }$$

Evaluate

$$-\frac{1797933}{121}\approx -14858.950413223$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$-48-121^{2}-\left(\frac{-29}{-11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calculate 121 to the power of 2 and get 14641.

$$-48-14641-\left(\frac{-29}{-11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Subtract 14641 from -48 to get -14689.

$$-14689-\left(\frac{-29}{-11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Fraction \frac{-29}{-11} can be simplified to \frac{29}{11} by removing the negative sign from both the numerator and the denominator.

$$-14689-\left(\frac{29}{11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calculate \frac{29}{11} to the power of 2 and get \frac{841}{121}.

$$-14689-\frac{841}{121}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Subtract \frac{841}{121} from -14689 to get -\frac{1778210}{121}.

$$-\frac{1778210}{121}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calculate -2 to the power of 6 and get 64.

$$-\frac{1778210}{121}-64+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Subtract 64 from -\frac{1778210}{121} to get -\frac{1785954}{121}.

$$-\frac{1785954}{121}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calculate 3 to the power of 0 and get 1.

$$-\frac{1785954}{121}+\left(-1\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calculate -1 to the power of 10 and get 1.

$$-\frac{1785954}{121}+1-\left(2\left(-5\right)\right)^{2}$$

Add -\frac{1785954}{121} and 1 to get -\frac{1785833}{121}.

$$-\frac{1785833}{121}-\left(2\left(-5\right)\right)^{2}$$

Multiply 2 and -5 to get -10.

$$-\frac{1785833}{121}-\left(-10\right)^{2}$$

Calculate -10 to the power of 2 and get 100.

$$-\frac{1785833}{121}-100$$

Subtract 100 from -\frac{1785833}{121} to get -\frac{1797933}{121}.

$$-\frac{1797933}{121}$$

Factor

$$-\frac{1797933}{121} = -14858\frac{115}{121} = -14858.950413223141$$