What is simplify-2(2/5)^{-1} ?

The solution to simplify-2(2/5)^{-1} is -5

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simplify-2(2/5)^{-1}

simplify

- 2 (\frac{2}{5})^{- 1}

- 5

Solution steps

- 2 (\frac{2}{5})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(\frac{2}{5})^{- 1} = \frac{1}{\frac{2}{5}}

= - 2 \cdot \frac{1}{\frac{2}{5}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= - 2 \cdot \frac{5}{2}

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{2}{1} \cdot \frac{5}{2}

Cross-cancel common factor:

2

= - \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= - 5

2 x^{2} + 5 x - 12 = 0

x^{2} - 11 x + 25 = 0

15 0^{2}

- 2 x + 2 > 6

∣ x + 10 ∣ - 1 = 5