Happy to help Mylie.
We use the basic idea that
[tex] a^{-n}=\dfrac{1}{a^n}[/tex]
7³ 16⁻⁹ = 7³ / 16⁹
Let's number the choices left to right first row 1-4, second 5-8, last 9-12
Answer: Choice 12
8⁻⁶ / 21⁻⁴ = 21⁴ / 8⁶
When the negative exponent is in the denominator it becomes a positive exponent in the numerator.
Answer: Choice 5
(7/16)⁻³ = (16/7)³ = 16³/7³
Answer: Choice 3
16³ (-7)⁻³ = 16³ / (-7)³
We could simplify more but this is
Answer: Choice 7
((8)(21))⁻⁴ = 1 / ((8)(21))⁴
Answer: Choice 1
8(21⁻³) = 8/21³
Answer: Choice 10
11⁻⁷ 5⁹ / 6⁹ = 5⁹ / (11⁷ 6⁹)
Answer: Choice 11
I think I'll leave the last three for you.
