Fully simplify

Question

z^6\cdotz^7)^5/(z^5\cdotz^2)^3

Answer 1

First, let's simplify the numerator:

(z^6 * z^7)^5
= z^13^5

Next, let's simplify the denominator:

(z^5 * z^2)^3
= z^7^3

Now, let's simplify the expression as a whole:

(z^13^5) / (z^7^3)
= z^65 / z^21

To simplify further, we can subtract the exponents:

= z^(65-21)
= z^44

Therefore, the fully simplified expression is z^44.