Question

(25)3/2×(243)3/5÷(16)5/4×(8)4/3
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Answer 1

Step-by-step explanation:

★ SIMPLIFICATION

------------------------------

\begin{lgathered}\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}\end{lgathered}

(16)

4

5

×(8)

3

4

(25)

2

3

×(243)

5

3

=>

(2)

4×

4

5

×(2)

3×

3

4

(5)

2×

2

3

×(3)

5×

5

3

=>

(2)

5+4

(5)

3

×(3)

3

=>

(2)

9

125×27

=>

512

3375