Solve y ^ - 3 - y ^ - 2, y = 2 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$y^{-3}-y^{-2},y=2$$

Solve for y, z

$z=-\frac{1}{8}=-0.125$

Solution Steps

Consider the second equation. Insert the known values of variables into the equation.

$$z=2^{-3}-2^{-2}$$

Calculate $2$ to the power of $-3$ and get $\frac{1}{8}$.

$$z=\frac{1}{8}-2^{-2}$$

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

$$z=\frac{1}{8}-\frac{1}{4}$$

Subtract $\frac{1}{4}$ from $\frac{1}{8}$ to get $-\frac{1}{8}$.

$$z=-\frac{1}{8}$$

The system is now solved.

$$y=2$$ $$z=-\frac{1}{8}$$