What is (5/3)^{-0.5} ?

The solution to (5/3)^{-0.5} is sqrt(3/5)

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simplify (5/3)^{-0.5}

simplify

(\frac{5}{3})^{- 0.5}

\frac{3}{5}

Decimal Notation

0.77459 \dots

Solution steps

(\frac{5}{3})^{- 0.5}

Apply exponent rule:

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

(\frac{5}{3})^{- 0.5} = \frac{1}{( \frac{5}{3} ) ^{0.5}}

= \frac{1}{( \frac{5}{3} ) ^{0.5}}

(\frac{5}{3})^{0.5} = \frac{5}{3}

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

\frac{5}{3} = \frac{5}{3}

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

Apply the fraction rule:

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

= \frac{3}{5}

Combine same powers :

\frac{x}{y} = \frac{x}{y}

= \frac{3}{5}

\frac{( - 1 ) ^{4 - 1}}{5 ^{4}}

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(x - 3)^{2} = 24