What is ((\sqrt[-3]{2+11/8})/(-1+5/2)+2/7)^{-2} ?

The solution to ((\sqrt[-3]{2+11/8})/(-1+5/2)+2/7)^{-2} is 3969/2116

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simplify ((\sqrt[-3]{2+11/8})/(-1+5/2)+2/7)^{-2}

simplify

\frac{- 3 2 + \frac{11}{8}}{- 1 + \frac{5}{2}} + \frac{2}{7}^{- 2}

\frac{3969}{2116}

Decimal

1.87570 \dots

Solution steps

\frac{- 3 2 + \frac{11}{8}}{- 1 + \frac{5}{2}} + \frac{2}{7}^{- 2}

Apply exponent rule:

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

= \frac{1}{( \frac{- 3 2 + \frac{11}{8}}{- 1 + \frac{5}{2}} + \frac{2}{7} ) ^{2}}

Apply the fraction rule:

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

= \frac{1}{( \frac{( \frac{11}{8} + 2 ) ^{- \frac{1}{3}}}{\frac{5}{2} - 1} + \frac{2}{7} ) ^{2}}

\frac{( 2 + \frac{11}{8} ) ^{- \frac{1}{3}}}{- 1 + \frac{5}{2}} + \frac{2}{7}^{2} = \frac{4 6 ^{2}}{6 3 ^{2}}

= \frac{1}{\frac{4 6 ^{2}}{6 3 ^{2}}}

Apply the fraction rule:

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

= \frac{6 3 ^{2}}{4 6 ^{2}}

6 3^{2} = 3969

= \frac{3969}{4 6 ^{2}}

4 6^{2} = 2116

= \frac{3969}{2116}

∣ 0 ∣^{\frac{1}{6} - 1} ∣ 0 ∣^{3}

1.092 \cdot 1 0^{- 6}

(e^{2 x})^{\frac{1}{2}}

e^{- \frac{y}{2}}

(2 x y) (cos (2 π s t^{2}) (2 π t^{3}))

What is ((\sqrt[-3]{2+11/8})/(-1+5/2)+2/7)^{-2} ?
The solution to ((\sqrt[-3]{2+11/8})/(-1+5/2)+2/7)^{-2} is 3969/2116