Example

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

Question

$$((((\frac{2}{3})^{2})^{2})^{2})^{2}/6^{-}$$

Answer

$$6.132610415681*10^21*6^$$

Solution


Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{({({23}^{4})}^{2})}^{2}}{{6}^{-}}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{({23}^{8})}^{2}}{{6}^{-}}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{23}^{16}}{{6}^{-}}\]
Simplify  \({23}^{16}\)  to  \(6.132610\times {10}^{21}\).
\[\frac{6.132610\times {10}^{21}}{{6}^{-}}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{6.132610\times {10}^{21}}{\frac{1}{{6}^{}}}\]
Invert and multiply.
\[6.132610\times {10}^{21}\times {6}^{}\]
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