Solve [\{(- 1/3) ^ 2\} ^ - 2] ^ - 1 = | 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

$$[\{(-\frac{1}{3})^{2}\}^{-2}]^{-1}=$$

Evaluate

$\frac{1}{81}\approx 0.012345679$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply $2$ and $-2$ to get $-4$.

$$\left(\left(-\frac{1}{3}\right)^{-4}\right)^{-1}$$

Calculate $-\frac{1}{3}$ to the power of $-4$ and get $81$.

$$81^{-1}$$

Calculate $81$ to the power of $-1$ and get $\frac{1}{81}$.

$$\frac{1}{81}$$

Factor

$\frac{1}{3 ^ {4}} = 0.012345679012345678$