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What is the value of the expression $8 − 1 × 53 2 − 4$ after simplification?

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205

520

250

502

answer is C.

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Detailed Solution

The given expression is,

8 − 1 × 53 2 − 4

Using the relation

a − m = 1 a m

, we can rearrange the above expression as given below,

⇒ 53 × 24 8

⇒ 5 × 5 × 5 × 2 × 2 × 2 × 2 8 ⇒ 5 × 5 × 5 × 2 ⇒ 25 × 10 ⇒ 250

Therefore, the value of the given expression is 250.
Hence, option 3 is correct.

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