Question

(y¹² ÷ y⁸) ÷ y³ : Simplify.

Answer 1

Answer:

(y¹² ÷ y⁸) ÷ y³ = y

Step-by-step explanation:

(y¹² ÷ y⁸) ÷ y³ : Simplify.

(y¹² ÷ y⁸) ÷ y³

Few concepts to be used for such question

aᵇ * aⁿ = aᵇ⁺ⁿ

aᵇ / aᵇ = aᵇ⁻ⁿ

ᵃ⁻ⁿ = 1/aⁿ

(y¹² ÷ y⁸) ÷ y³

= y¹²⁻⁸ ÷ y³

= y⁴ ÷ y³

= y⁴⁻³

= y¹

= y

(y¹² ÷ y⁸) ÷ y³ = y

Answer 2

Answer:

(y¹² ÷ y⁸) ÷ y³ = y  

Step-by-step explanation

In such type of questions, if the base number is same, then their powers are added or subtracted on the basis of multiplication and division respectively.  

(y¹² ÷ y⁸) ÷ y³

= y¹²⁻⁸ ÷ y³

= y⁴ ÷ y³

= y⁴⁻³

= y¹

= y