Answer:
Step-by-step explanation:
You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc
A:) 
B:) ![(125)^\frac{1}{3} =\sqrt[3]{125} =5](https://tex.z-dn.net/?f=%28125%29%5E%5Cfrac%7B1%7D%7B3%7D%20%3D%5Csqrt%5B3%5D%7B125%7D%20%3D5)
C:) 
D:) ![(8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32](https://tex.z-dn.net/?f=%288%29%5E%5Cfrac%7B5%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B%288%29%5E5%7D%3D32)
Answer:
45
Step-by-step explanation:
(3)(7)−(6)(−4)
=21−(6)(−4)
=21−(−24)
=45
Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria
<u>Step-by-step explanation:</u>
Use the exponential growth formula y = a(b)ˣ where
- a = Initial Value
- b = 1 + r (for growth) or 1 - r for decay
- r = rate (convert percent to a decimal)
a) Given: a = 250, r = 80% (.80) → b = 1.8
y = 250(1.8)ˣ
b) Given: x = 10
y = 250(1.8)¹⁰
y = 89,261.68 = 89,262 (rounded to the nearest whole number)
When you estimate, you round the numbers up or down. In this case, I'll round 4,377 down to 4,000, because 8 divides nicely into that number. 4,000/8 = 500.
You could estimate it to be about 500.
Hope that helped you.
(You can round your own numbers if you would like, but remember that rounding should make it easier for you to solve!)
Answer:
Step-by-step explanation:
2 2/3 = 8/3
3 3/8 = 27/8
8/3 * 27/8 = 216/24
= 9
