Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$3\frac{5}{9}^{-}(2\frac{1}{3}^{-}1\frac{5}{12})+1\frac{5}{6}$$

Answer

$$35*9^(21*3^(5/4))+5/2$$

Solution


Simplify  \(\frac{15}{12}\)  to  \(\frac{5}{4}\).
\[\frac{35}{{9}^{-\frac{21}{{3}^{-\frac{5}{4}}}}}+\frac{15}{6}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{35}{{9}^{-\frac{21}{\frac{1}{{3}^{\frac{5}{4}}}}}}+\frac{15}{6}\]
Invert and multiply.
\[\frac{35}{{9}^{-21\times {3}^{\frac{5}{4}}}}+\frac{15}{6}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{35}{\frac{1}{{9}^{21\times {3}^{\frac{5}{4}}}}}+\frac{15}{6}\]
Invert and multiply.
\[35\times {9}^{21\times {3}^{\frac{5}{4}}}+\frac{15}{6}\]
Simplify  \(\frac{15}{6}\)  to  \(\frac{5}{2}\).
\[35\times {9}^{21\times {3}^{\frac{5}{4}}}+\frac{5}{2}\]
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