Simplify the expression. Write your answer using only positive exponents.

Question

Explain as well.

1. (8x)^3*8^-4
2. 2x^-5*y^-3
3. (4x^4y^-3)^-2
4. 1/(3x)^-2

Answer 1

1.
8^3 x^3/8^4
= x^3/8

2. 2/x^5 * 1/y^3
= 2/(x^5 y^3)

3. 1/(4x^4 y^-3)^2
= 1/(16x^8 y^-6)
= y^6 /(16x^8)

4. 1/(3x)^-2
= (3x)^2
= 9x^2

Answer 2

I don't understand how you got that for #1.

Answer 3

1. Notation confusion maybe
(8^3 x^3) / 8^4
= (1/8) x^3