Solve x={(-1)^{11}-[(-7)*(-7)^2]^3:(-7)^7}:(-5)^2

$$x = \{ ( - 1 ) ^ { 11 } - [ ( - 7 ) \cdot ( - 7 ) ^ { 2 } ] ^ { 3 } : ( - 7 ) ^ { 7 } \} : ( - 5 ) ^ { 2 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$x=\frac{\left(-1\right)^{11}-\frac{\left(\left(-7\right)^{3}\right)^{3}}{\left(-7\right)^{7}}}{\left(-5\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$x=\frac{\left(-1\right)^{11}-\frac{\left(-7\right)^{9}}{\left(-7\right)^{7}}}{\left(-5\right)^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 7 from 9 to get 2.

$$x=\frac{\left(-1\right)^{11}-\left(-7\right)^{2}}{\left(-5\right)^{2}}$$

Calculate -1 to the power of 11 and get -1.

$$x=\frac{-1-\left(-7\right)^{2}}{\left(-5\right)^{2}}$$

Calculate -7 to the power of 2 and get 49.

$$x=\frac{-1-49}{\left(-5\right)^{2}}$$

Subtract 49 from -1 to get -50.

$$x=\frac{-50}{\left(-5\right)^{2}}$$

Calculate -5 to the power of 2 and get 25.

$$x=\frac{-50}{25}$$

Divide -50 by 25 to get -2.

$$x=-2$$

Assign x

$$x≔-2$$