Question

(-a³)⁵×(-a⁷)⁴÷a⁴⁰.....​

Answer 1

Відповідь:       - а³ .

Пояснення:

     (-a³)⁵×(-a⁷)⁴÷a⁴⁰ = - а¹⁵× а²⁸ : а⁴⁰ = - а⁴³ : а⁴⁰ = - а³ .    

Answer 2

Let's simplify the expression step by step:

1. First, let's deal with the exponents:

(-a³)⁵ = (-a³) * (-a³) * (-a³) * (-a³) * (-a³) = -a³ * -a³ * -a³ * -a³ * -a³ = -a¹⁵

(-a⁷)⁴ = (-a⁷) * (-a⁷) * (-a⁷) * (-a⁷) = a²⁸

2. Now, we can divide these two expressions:

(-a¹⁵) / (a²⁸) = -a^(15 - 28) = -a^(-13)

3. Finally, we have one more division by a⁴⁰:

(-a^(-13)) / a⁴⁰ = -a^(-13 - 40) = -a^(-53)

So, the simplified expression is:

-a^(-53)