Question

after how many places of decimal will the decimal expansion of the number 27 upon 2 raise to power 2 into 5 raise to power 3 terminate​

Answer 1

Answer:

After 4 place of decimal the decimal form of given number will terminate.

Step-by-step explanation:

$\frac{27}{ {2}^{3}. {5}^{4}. {3}^{2} } = \frac{3}{ {2}^{3}. {5}^{4} } = \frac{3 \times 2}{(2 \times 5 {)}^{4} } \\ = \frac{6}{ {10}^{4} } = 0.0006$

Therefore, after 4 place of decimal the decimal form of given number will terminate.