What is (2/3)^{-0.75} ?

The solution to (2/3)^{-0.75} is (3^{0.75})/(2^{0.75)}

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simplify (2/3)^{-0.75}

simplify

(\frac{2}{3})^{- 0.75}

\frac{3 ^{0.75}}{2 ^{0.75}}

Decimal Notation

1.35540 \dots

Solution steps

(\frac{2}{3})^{- 0.75}

Apply exponent rule:

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

(\frac{2}{3})^{- 0.75} = \frac{1}{( \frac{2}{3} ) ^{0.75}}

= \frac{1}{( \frac{2}{3} ) ^{0.75}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{2}{3})^{0.75} = \frac{2 ^{0.75}}{3 ^{0.75}}

= \frac{1}{\frac{2 ^{0.75}}{3 ^{0.75}}}

Apply the fraction rule:

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

= \frac{3 ^{0.75}}{2 ^{0.75}}

\frac{3}{5} x = 18

\frac{3 x - 2}{4} = \frac{x}{3} + 1

\frac{250 ( 2 ^{- 3} )}{( - 5 ) ^{2} ( 8 ^{- 2} )}

4500 = \frac{( ( 0.00000075 ) \cdot R ^{2} )}{2 ( 8.85 \cdot 1 0 ^{- 12} ) ( 0.35 )}