Question

Answer any of these two! If you can answer both I could possibly give you brain^^ THANK YOU

Answer 1

12.
`(1)/(z^(2) )`

13. x⁶

Explanation:

*Note: When multiplying two of the same variables you add the exponents. When dividing two of the same variables you subtract the exponents. When a variable to a power is raised to another power you multiply the exponents.

1. 
   `(z^(6) z^(-5) )^(-2)`

• =
  `(z^(6+(-5)) )^(-2)`
• =
  `(z^(6-5) )^(-2)`
• =
  `(z^(1)) ^(-2)`
• =
  `z^(1*-2)`
• =
  `z^(-2)`
• =
  `(1)/(z^(2) )`
• *Note: When there is a negative exponent the whole term is flipped (the reciprocal of the term).

1. 
   `(1)/(x^(-6) )`

• = x⁶