Question

a⁵ × a^–5 is equal to ______.

Options

• 0

• 1

• a^–10

• a

Answer 1

a⁵ × a^–5 is equal to 1.

Explanation:

When multiplying powers with the same base, you add the exponents.

So, `a^5 × a^(–5) = a^(5 + (-5))`

a⁵ × a^–5 = a⁰

a⁵ × a^–5 = 1

Hence, a⁵ × a^–5 = 1.