Topic 7: Laws of indices

Question 1

a to the power of m times a to the power of n=_______

Answer 1

a to the power of m+n

Question 2

a to the power of m divide by a to the power of n=______

Answer 2

a to the power of m-n, where a is not equal to zero

Question 3

(a to the power of m)n =____

Answer 3

a to the power of mn

Question 4

a to the power of n times b to the power of n= ______

Answer 4

(a times b) to the power of n

Question 5

a to the power of n divide by b to the power of n = ____

Answer 5

(a/b) to the power of n, where b is not equal to zero

Question 6

a to the power of zero =_____

Answer 6

1, where a is not equal to zero

Question 7

a to the power of -n= _____

Answer 7

1/ a to the power of n, where a is not equal to zero

Question 8

(a/b) to the power of -n =______

Answer 8

(b/a) to the power of n, where a is not equal to zero and b is not equal to zero

Question 9

a to the power of 1/n=_____

Answer 9

n root of a, where a is bigger than 0 and n is a positive integer. refer to notes if not sure