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

Leonard Herrera

Mathematics

4 February, 15:31

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?

Payten Petty · 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)