Question

For a non-zero rational number x, x⁸ ÷ x² is equal to ______.

Options

• x⁴

• x⁶ 

• x¹⁰

• x¹⁶

Answer 1

For a non-zero rational number x, x⁸ ÷ x² is equal to `bb(underline(x^6))`.

Explanation:

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m ÷ aⁿ = a^{m – n}, m > n

So, `x^8 ÷ x^2 = x^8/x^2 = x^(8 – 2) = x^6`