Question

Express the numerator and denominator in each of the following as a product of power of prime number and then simplify.​

Answer 1

Step-by-step explanation:

1.....

$\frac{ {6}^{6} \times {10}^{3} \times 5}{ {15}^{4} \times {8}^{3} }$

$\frac{ {(3 \times 2)}^{6} \times 5 \times {(5 \times 2)}^{3} }{ {(5 \times 3)}^{4} \times {2}^{9} } \\ \\ \frac{ {3}^{6} \times {2}^{6} \times {5}^{3} \times {2}^{3} \times 5}{ {5}^{4} \times {3}^{4} \times {2}^{9} } \\ \\ = {3}^{2} = 9$

2...

$\frac{ {3}^{5} \times {(5 \times 2)}^{5} \times {5}^{2} }{ {5}^{7} \times {6}^{5} } \\ \\ \\ \frac{ {3}^{5} \times {5}^{5} \times {2}^{5} \times {5}^{2} }{ {5}^{7} \times {3}^{5} \times {2}^{5} } \\ \\ \\ = 1$