Question

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Express the numerator and denominator Aisa product of power of prime number and then simplify .​

Answer 1

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@Raghav..

Answer 2

hi mate ,

as we know that prime number is a number which has two factors, 1 and the number itself.

then the question is telling us to express

the numerator and denominator Aisa product of power of prime number,

so now I am expressing..

after expressing the fraction becomes

$\frac{ {(2 \times 2)}^{3} {(3 \times 3)}^{2} {(5 \times 3)}^{2} {(2)}^{2} }{ {(3 \times 2)}^{2} {(3)}^{2} {(2)}^{3} (5 \times 2)} \\ = > \frac{ {2}^{3} {2}^{3} {3}^{2} {3}^{2} {5}^{2} {3}^{2} {3}^{2} }{ {3}^{2} {2}^{2} {3}^{2} {2}^{3} \times 10}$

now we have to solve

$= > \frac{8 \times 8 \times 9 \times 9 \times 25 \times 9 \times 9}{9 \times 4 \times 9 \times8 \times 10 } \\ = > \frac{10497600}{25920}$

so this is your answer

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