Question

a¹⁰ ÷ a¹³ X a (a ≠ 0) : Simplify.

Answer 1

Answer ⇒ a⁻²

Solution ⇒

Given question have litle bit printed mistake. Correct simplification will be a¹⁰ ÷ a¹³ × a.

Now, Let us solve that.

∴ a¹⁰ ÷ a¹³ × a

= a¹⁰ ⁻ ¹³ × a [∵ xᵃ / xᵇ = xᵃ ⁻ ᵇ]

= a⁻³ × a

= a⁻²

Hope it helps.

Answer 2

Since in the question you've used upper case as well as lower case variables.

But I feel both are the same or else the answer will differ.

Let's solve it.

$a^{10}$ ÷ a¹³ × a

$a^{-3}$ × a

or, $a^{-2}$ [Ans]

Therefore, $a^{10}$ ÷ a¹³ × a = $a^{-2}$