Applying properties of exponents in exercise, use the properties of exponents to simplify the expression.
(a) (e5)2
(b) e^3/e^5
(c) (e4) (e3/2)
(d) (e2) - 4

a) e¹⁰

b) 1/e²

c) e^(11/2)

d) 1/e⁸

Step-by-step explanation:

a) The power of a power is the multiplication of the eponents, thus

(e⁵)² = e^(5*2) = e¹⁰

b) When you divide powers, you can take the power of the substraction, hence

e³/e⁵ = e^(3-5) = e⁻² = 1/e²

c) When you multiply powers, you have to sum the exponents, as a result

e⁴*e^(3/2) = e^(4+3/2) = e^(11/2)

d) We use the same property for item a

(e²)⁻⁴ = e^(2*-4) = e⁻⁸ = 1/e⁸

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5