Question

(10a ^ 2 * 8 ^ 5)/(15a ^ 4 * 8) =

Answer 1

Ответ:

3072000а в четвертой степени

Answer 2

To simplify the expression (10a^2 * 8^5)/(15a^4 * 8), we can apply the rules of exponents and perform the necessary calculations.

Let's break it down step by step:

First, let's simplify the powers of 8: 8^5 = 8 * 8 * 8 * 8 * 8 = 32,768

Now, let's simplify the expression further: (10a^2 * 32,768) / (15a^4 * 8)

Next, let's simplify the coefficients: 10 / 15 = 2 / 3

Now, let's simplify the powers of 'a': a^2 / a^4 = 1 / a^2

Putting it all together, the expression simplifies to:

(2 / 3) * (1 / a^2) * 32,768 / 8

Simplifying further:

2 * 32,768 / (3 * a^2 * 8)

Finally, we can simplify the numerical expression:

65,536 / (24 * a^2)

The simplified form of the expression is 65,536 / (24 * a^2).