Simplify and express with positive indices, a little help?

[jahaddow]

Simplify and express with positive indices, a little help?
I am no good at these, can anyone show me how to work these out?

(18x³ X 2x^-4)/(4x^-5 X 6x)

8³sqrt(p¹² q^-8) X 3⁴sqrt(p^-10 q⁹)

and

(6^x+2 X 4^2x-4 X 3^5-x X 2^x-6)/(12^4x+3 X 9^2x-3)

ps. The Capital X's are multiplication signs

 

[Mark44]

Simplify and express with positive indices, a little help?
I am no good at these, can anyone show me how to work these out?

Then, obviously, you need to work to get good at these.

(18x³ X 2x^-4)/(4x^-5 X 6x)

8³sqrt(p¹² q^-8) X 3⁴sqrt(p^-10 q⁹)

and

(6^x+2 X 4^2x-4 X 3^5-x X 2^x-6)/(12^4x+3 X 9^2x-3)

ps. The Capital X's are multiplication signs

Review the properties of exponents (or indices, as you call them), especially these:
$$a^m \cdot a^n = a^{m + n}$$

$$\frac{a^m}{a^n} = a^{m - n}$$

$$(a^m)^n = a^{m \cdot n}$$

Also,
$$\sqrt[n]{x} = x^{1/n}$$