Question

after how many places the decimal expansion of 23 by 2 raise to 4 into 5 raise to 3 terminate​

Answer 1

It will terminate at 4 places after decimal because the highest power is 4.

Answer 2

After 4 decimal places it will terminate.

Step-by-step explanation:

Given : Expression 23 by 2 raise to 4 into 5 raise to 3 terminate​.

To find : After how many places the decimal expansion ?

Solution :

The expression is written as, $\frac{23}{2^4\times 5^3}$

Multiply numerator and denominator by 5,

$\frac{23}{2^4\times 5^3}=\frac{23\times 5}{2^4\times 5^4}$

$\frac{23}{2^4\times 5^3}=\frac{115}{(2\times 5)^4}$

$\frac{23}{2^4\times 5^3}=\frac{115}{(10)^4}$

It will terminate after 4 decimal places.

$\frac{23}{2^4\times 5^3}=0.0115$

Therefore, after 4 decimal places it will terminate.

#Learn more

The decimal representation of 11/2^3*5 will

a) terminate after 1 decimal place

b) terminate after 2 decimal places

c) terminate after 3 decimal places

d) not terminate​

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