What is simplify-3(3/5)^{-1} ?

The solution to simplify-3(3/5)^{-1} is -5

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simplify-3(3/5)^{-1}

simplify

- 3 (\frac{3}{5})^{- 1}

- 5

Solution steps

- 3 (\frac{3}{5})^{- 1}

Apply exponent rule:

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

(\frac{3}{5})^{- 1} = \frac{1}{\frac{3}{5}}

= - 3 \cdot \frac{1}{\frac{3}{5}}

Apply the fraction rule:

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

= - 3 \cdot \frac{5}{3}

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{3}{1} \cdot \frac{5}{3}

Cross-cancel common factor:

3

= - \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= - 5

\frac{1}{2} (9.8) (3)^{2}

2 \cdot \frac{4}{11}

- 2 (0) + 2

3 y^{2} + 2 y - 8