Answer:
<u>Part A</u>: A)
<u>Part B:</u>
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
<h2>Part A:</h2>
Use the <u>Quotient Rule</u> of Exponents:
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
<h3>Base y:</h3>
= (in the <u>numerator</u>).
<h3>Base w:</h3>
= w (in the <u>denominator</u>. The "w" in the numerator cancels out).
<h3>Base z:</h3>
= We used the <u>Zero Exponent Rule</u> here, were it states: . (unnecessary to include in the final answer).
Altogether, you'll have:
Option A:
<h2>
Part B:</h2>
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).