Question

Currently struggling, please help me ‍

Answer 1

Answer:
`x^(-2)y^(-5)` and
`(1)/(x^(2) y^(5) )`

Explanation:

You have to remember your Laws of Exponents.

`a^(0) = 1\\a^(1) = a\\a^(m) * a^(n) = a^(m + n)\\a^(m) / a^(n) = a^(m - n)\\a^(-m) = 1/a^(m)`

Use the Laws of exponents to simplify the exponents.

`\\y^(-8)y^(3) = y^(-8+3) = y^(-5) \\x^(0)x^(-2) = x^(0 + (-2)) = x^(-2) \\x^(-2)y^(-5)`

Another way to solve:

`x^(0) = 1\\ \\y^(-8)y^(3) = y^(-8+3) = y^(-5) = (1)/(y^(5) ) \\x^(-3) = (1)/(x^(3) )`

Combine

`(1)/(x^(2) y^(5) )`

Answer 2

Answer:
`x^(-2)`
`y^(-5)`

Explanation:

`y^(-8)`-
`y^(3)`=
`y^(-5)`

`x^(0)`-
`x^(-2)`=
`x^(-\\2)`