Question

Pls answer the question

Answer 1

Answer:

$\frac{ {3}^{ - 5} \times {10}^{ - 6} \times 125 \times {y}^{ - 3} }{ {5}^{ - 7} \times {6}^{ - 5} \times {y}^{ - 4} } \\ = \frac{ {5}^{7} \times {6}^{5} \times 125 \times {y}^{3} }{ {3}^{5} \times {10}^{6} \times {y}^{4} } \\ = \frac{ {5}^{7} \times {(3 \times 2)}^{5} \times {5}^{3} \times {y}^{3} }{ {3}^{5} \times {(2 \times 5)}^{6} \times {y}^{4} } \\ = \frac{ {5}^{7} \times {3}^{5} \times {2}^{5} \times {5}^{3} \times {y}^{3} }{ {3}^{5} \times {2}^{6} \times {5}^{6} \times {y}^{4} } \\ = \frac{ {(5)}^{7 + 3} \times {3}^{5} \times {2}^{5} \times {y}^{3} }{ {3}^{5} \times {2}^{6} \times {5}^{6} \times {y}^{4} } \\ = \frac{ {5}^{10} \times {3}^{5} \times {2}^{5} \times {y}^{3} }{ {3}^{5} \times {2}^{6} \times {5}^{6} \times {y}^{4} } \\ = \frac{ {(5)}^{10 - 6} \times {(3)}^{5 - 5} }{ {(2)}^{6 - 5} \times {(y)}^{4 - 3} } \\ = \frac{ {5}^{4} \times {3}^{0} }{ {2}^{1} \times {y}^{1} } \\ = \frac{625 \times 1}{2 \times y} \\ \boxed{ = \underline{ \underline{ \large \frac{625}{2} y}}}$