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If 256 = (4)× (2)3 + y, find the value of y
1. 1
2. 2
3. 3
4. 4

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Correct Answer - Option 1 : 1

Given

256 = (4)2 × (2)3 + y

Concept

a× a= am + n

Calculation

256 = (4)× (2)3 + y

⇒ (4)4 = (4)× (2)3 + y

⇒ (22)4 = (22)2 × (2)3 + y

⇒ 2= 2× 23 + y

⇒ 28 = 24 + 3 + y

⇒ 28 = 27 + y

⇒ 8 = 7 + y

⇒ 8 - 7 = y

⇒ 1 = y

∴ Value of y is 1

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