Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>
Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers ![[(7)^{5}*(7)^{3}]](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D)
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then,
We have a power of a power case, which involves multiplying the exponents:
![[(7)^{5}*(7)^{3}]^{-4}](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D%5E%7B-4%7D)
Exponents: 3 and -4
Then,
Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!
Answer: OPTION C
Step-by-step explanation:
2. The parent function of a linear function is the simplest form of a linear function and this is:
f(x)=x. Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2
3. If you take the parent function and make f(x)-1, then you have:
f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).
4. Then you make -2f(x), as following:
y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).
5. That is how you obtain the final function.
Answer:
$40
Step-by-step explanation:
A year has 52.1 weeks.
$61.1K will give a weekly salary of $1.17K
$63.4K will give a weekly salary of $1.21K
Difference is 1.21 - 1.17 = 0.04K = 0.04 x 1000 = $40
28/8= 3.5
3.5• 6=21
The puppy gained 21 pounds in 6 weeks
so from 2850 to 5575 is a disance of 5575-2850=2725
then decended 2695
2725-2695=30
net gain is 30 feet
