Question

Use the rules of exponents to evaluate or simplify. Write without negative exponents.

Answer 1

• a^{-m}=(1/a)^m
• (a^m)^n=a^mn

So

• (1/4)^{-1/2}
• 4^{1/2}
• √4
• √2²
• 2

Answer 2

• 2

Explanation:

• 
  `((1)/(4))^(-1/2)` =
• 
  `((1)/((1)/(4) ))^(1/2)` =
• 
  `4^(1/2)` =
• 
  `2^(2*1/2)` =
• 
  `2^(1)` =
• 2

Properties used

• 
  `a^(-b) = ((1)/(a) )^b`
• 
  `(a^(b) )^c = a^(bc)`