Powers and Roots

Question 1

-2^4 = ?
(-2)^4 = ?

Answer 1

-2^4 = (-1)*2^4, = -16
(-2)^4 = 16

Question 2

a^(b/n) = ?

Answer 2

Nth root of (a^b)

Eg. 3 ^ (2/3) = 3rd root of (3^2)

Question 3

x^0 = ?

Answer 3

1, when x isn’t 0 (undefined)

Question 4

Sq. Root (3/5) simplified?

Answer 4

= (Sq. Root of 3 / Sq. Root of 5)

Question 5

Number of solutions for an even root (2, 4, 6 etc.?)

Answer 5

Two solutions if the root is positive (+ or -)

No solution if the root is negative

Question 6

Number of solutions for an odd root (3, 5, 7)

Answer 6

One positive solution if x > 0
One negative solution if x < 0
For example: Third root of -27 = -3.