Answer:
c. 3 and 21
Step-by-step explanation:
1. (x + 5, y - 6) 3/4
2. c
3. b and c
4. b and c
5. c
Once the rules of exponents are understood, you can begin solving more complicated expressions more easily. Recall that when you take a power to a power, you multiply the exponents, <span>(<span>xa</span>)b= <span>xa</span></span>·b.
<span>What happens when you raise an entire expression inside parentheses to a power? You can use the techniques you already know to simplify this expression.</span>
<span>(2a)4 = (2a)(2a)(2a)(2a) = </span><span>(2 • 2 • 2 • 2)(a • a • a • a) = (24)(a4) = 16a4</span>
<span>Notice that the exponent is applied to each factor of 2a. So, we can eliminate the middle steps.</span>
<span>(2a)4 = </span><span>(24)(a4), applying the 4 to each factor, 2 and a.</span>
<span>= 16a4</span>
<span>The product of two or more numbers raised to a power is equal to the product of each number raised to the same power.</span>