Example

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

Question

$${ \left( { 369 }^{ 3 } \right) }^{ { \left( { 2 }^{ 3 } \right) }^{ 2934 _{ 2 } \left( { 6 }^{ 3 } \right) _{ 25 } } }$$

Answer

$$369^(3*2^(3*2934_2*6^3_25))$$

Solution


Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{369}^{3{({2}^{3})}^{2934_2\times {6}^{3_25}}}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{369}^{3\times {2}^{3\times 2934_2\times {6}^{3_25}}}\]
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