Question

solve the following
with the laws of components....​

Answer 1

Answer:

15

Step-by-step explanation:

$\frac{ {6}^{3} \times {2}^{9} \times {25}^{2} }{ {3}^{2} \times {8}^{4} \times {5}^{3} } \\ \\ = \frac{ {(2 \times 3)}^{3} \times {2}^{9} \times {(5 \times 5)}^{2} }{ {3}^{2} \times {(2 \times 2 \times 2)}^{4} \times {5}^{3} } \\ \\ = \frac{ {2}^{3} \times {3}^{3} \times {2}^{9} \times { ({5}^{2} )}^{2} }{ {3}^{2} \times { ({2}^{3}) }^{4} \times {5}^{3} } \\ \\ = \frac{ {2}^{12} \times {3}^{3} \times {5}^{4} }{ {3}^{2} \times {2}^{12} \times {5}^{3} } \\ \\ = \frac{3 \times 5}{1} = 15$

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