Solve b=[(2/7)^{-2}-17*2^-2]*[3^2-(-1)^3]^-6

$$b = [ ( \frac { 2 } { 7 } ) ^ { - 2 } - 17 \times 2 ^ { - 2 } ] \times [ 3 ^ { 2 } - ( - 1 ) ^ { 3 } ] ^ { - 6 }$$

Solve for b

$$b=\frac{1}{125000}=0.000008$$

Steps for Solving Linear Equation

Calculate \frac{2}{7} to the power of -2 and get \frac{49}{4}.

$$b=\left(\frac{49}{4}-17\times 2^{-2}\right)\left(3^{2}-\left(-1\right)^{3}\right)^{-6}$$

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$b=\left(\frac{49}{4}-17\times \frac{1}{4}\right)\left(3^{2}-\left(-1\right)^{3}\right)^{-6}$$

Multiply 17 and \frac{1}{4} to get \frac{17}{4}.

$$b=\left(\frac{49}{4}-\frac{17}{4}\right)\left(3^{2}-\left(-1\right)^{3}\right)^{-6}$$

Subtract \frac{17}{4} from \frac{49}{4} to get 8.

$$b=8\left(3^{2}-\left(-1\right)^{3}\right)^{-6}$$

Calculate 3 to the power of 2 and get 9.

$$b=8\left(9-\left(-1\right)^{3}\right)^{-6}$$

Calculate -1 to the power of 3 and get -1.

$$b=8\left(9-\left(-1\right)\right)^{-6}$$

The opposite of -1 is 1.

$$b=8\left(9+1\right)^{-6}$$

Add 9 and 1 to get 10.

$$b=8\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$b=8\times \frac{1}{1000000}$$

Multiply 8 and \frac{1}{1000000} to get \frac{1}{125000}.

$$b=\frac{1}{125000}$$

Assign b

$$b≔\frac{1}{125000}$$