Nicole simplifies 2^a*2^5/2^b to 2^ (a-b+5). Which two properties of exponents did she use while simplifying the expression?

A. Negative Exponent Property and Product of Powers Property

B. Quotient of Powers Property and Product of Powers Property

C. Quotient of Powers Property and Power of a Product Property

D. Negative Exponent Property and Power of a Product Property

Question

Mathematics

Laura Murillo

15 August, 21:54

Nicole simplifies 2^a*2^5/2^b to 2^ (a-b+5). Which two properties of exponents did she use while simplifying the expression?

A. Negative Exponent Property and Product of Powers Property

B. Quotient of Powers Property and Product of Powers Property

C. Quotient of Powers Property and Power of a Product Property

D. Negative Exponent Property and Power of a Product Property

+2

Answers (1)

Know the Answer?

Roy Kerr · Answer 1

D.

Step-by-step explanation:

2^a*2^5/2^b = 2^ (a+5) / 2^b. using power of a product property.

then

2^ (a+5) / 2^b = 2^ (a+5) * 2^-b. Using Negative Exponent property.

Again we can use power of a product property and we get 2^ (a+5) * 2^-b=2^ (a-b+5)