Question

Take some time but answer correctly

Answer 1

c

Explanation:

Using the rule of exponents

`(a^m)^(n)` =
`a^(mn)`

note that 8 = 2³ , then

`(8)^(-3)`

=
`(2^3)^(-3)`

=
`2^(3(-3))`

=
`2^(-9)` → c

Answer 2

c) 2⁻⁹

Explanation:

1) use negative power rule:
`x^(-a) =(1)/(x^(a) )`

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3