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solve for \(p=\frac{1}{2^8*5^6}\)
we have = 1/10^6*4
=> .25/10^6 ;
i.e total 8 digits to right of decimal
OPTION D


GMATinsight
If \(p=\frac{1}{2^8*5^6}\) is expressed as a terminating decimal, how many digits to the right of decimal will p have?

(A) Two
(B) Six
(C) Seven
(D) Eight
(E) Nine

Source: https://www.GMATinsight.com
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multiply by 5^2/ 5^2=
1*5^2/
2^8*5^6*5^2==

5^2/10^8==> 8 zeros
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GMATinsight
If \(p=\frac{1}{2^8*5^6}\) is expressed as a terminating decimal, how many digits to the right of decimal will p have?

(A) Two
(B) Six
(C) Seven
(D) Eight
(E) Nine

Solution:

Multiplying p by 2^2/2^2, we have:

2^2/10^8 = 4/10^8, so there will be 8 digits from the right of the decimal point.

Answer: D
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