Example

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

Question

$$\left. \begin{array} { l } { ( \frac { 25 } { 16 } ) ^ { - \frac { 1 } { 3 } } [ ( \frac { 125 } { 64 } ) ^ { \frac { 1 } { 3 } } \div ( \frac { 8 } { 27 } ) ^ { \frac { - 1 } { 3 } } ] } \\ { \frac { 3 ^ { 4 } \times 27 ^ { 3 } \times \right.$$

Answer

$$b*1/(1.6189680497239*10^44)*(1.9438513943419*10^53)/827^-13];3^4*19683*59049*d$$

Solution


Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
Simplify  \({2516}^{13}\)  to  \(1.618968\times {10}^{44}\).
Simplify  \({12564}^{13}\)  to  \(1.943851\times {10}^{53}\).
Simplify  \({27}^{3}\)  to  \(19683\).
Simplify  \({9}^{5}\)  to  \(59049\).
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