Question

Please simplify step wise (25^3/2 × 243^3/5)/16^5/4 × 8^4/3

Answer 1

Answer:

Step-by-step explanation:

Hi friend

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Your answer

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★ SIMPLIFICATION

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\frac{(25) {}^{ \frac{3}{2} }{\times (243) {}^{ \frac{3}{5} } } }{(16) {}^{ \frac{5}{4} }  \times (8) {}^{ \frac{4}{3} } }  \\  \\  =  >  \frac{(5) {}^{2 \times  \frac{3}{2}  }  \times (3) {}^{5 \times  \frac{3}{5} } }{(2) {}^{4 \times  \frac{5}{4} } \times (2) {}^{3 \times  \frac{4}{3} }  }  \\  \\  =  >  \frac{(5) {}^{3} \times (3) {}^{3}  }{(2) {}^{5 + 4} }   \\  \\  =  >  \frac{125 \times 27}{(2 ){}^{9} }  \\  \\  =  >  \frac{3375}{512}  

HOPE IT HELPS