Answer:
2/9 and 7/4(or 1 3/4)
Step-by-step explanation:
A reciprocal is just the original number flipped.
Answer:
750 if just 27 is being rooted
18.9 if 27 x 250 is being rooted
Step-by-step explanation:
For # 1, the answer will be 1 because of the exponential rule

.
#2, the answer is going to be

because of the exponential rule

.
#3. I'm not sure that this could be simplified any further.
#4 To get the answer to this question, we must apply the distributive property, along with the exponential rule
. When we apply these properties, we'll get

For the other questions, they all apply the Laws of Exponents.
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
It equal 156. hope it helps