Applying properties of exponents in exercise, use the properties of exponents to simplify the expression.
(a) (e6) (e - 3)
(b) (e - 2) - 5
(c) (e^6/e^2)^-1
(d) (e3)4/3

(a)

(b)

(c)

(d)

Step-by-step explanation:

Properties of exponents :

1)

2)

3)

4)

Now , we simplify the given expression using the above properties.

a)

  [By property (1)]

 [∵ (+)(-)=(-)]

b)

 [By property (3)]

  [∵ (-)(-)=(+)]

c)

   [By property (2)]

      [By property (4)]

d)

       [By property (3)]

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.