Question

simplify(25²×64³)/(625⁵×8²)​

Answer 1

SOLUTION

TO EVALUATE

$\displaystyle \sf{ \frac{ {25}^{2} \times {64}^{3} }{ {625}^{5} \times {8}^{2} } }$

EVALUATION

$\displaystyle \sf{ \frac{ {25}^{2} \times {64}^{3} }{ {625}^{5} \times {8}^{2} } }$

$\displaystyle \sf{ = \frac{ {25}^{2} \times {( {8}^{2}) }^{3} }{ { ({25}^{2} )}^{5} \times {8}^{2} } }$

$\displaystyle \sf{ = \frac{ {25}^{2} \times {8 }^{6} }{ { 25}^{10} \times {8}^{2} } }$

$\displaystyle \sf{ = \frac{ {8 }^{6 - 2} }{ { 25}^{10 - 2} } }$

$\displaystyle \sf{ = \frac{ {8 }^{4} }{ { 25}^{8} } }$

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