Question

Simplify algebraically \(\dfrac{(a^6)^2}{a^8} \)
1. a
2. a²
3. a⁴
4. a^-4

Answer 1

Correct Answer - Option 3 : a⁴

Concept Used:

(a^m)ⁿ = a^{m × n}

a^m ÷ aⁿ = a^{m - n}

Calculation:

\(\dfrac{(a^6)^2}{a^8} \)

⇒ \({a^{6 \times 2}} \over a^8\)

⇒ \({a^{12}} \over a^8\)

⇒ a^{(12 - 8)}

⇒ a⁴

∴ Required simplified value is a⁴.