Answer:
B. -500
Step-by-step explanation:






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:
t = 41.6 (the 6 is repeating)
Step-by-step explanation:
2.5t + 350 = 3t + 225
Subtract 2.5t from both sides to get:
350 = 3t + 225
Now subtract 225 from both sides to get:
125 = 3t
Divide both sides by three.
t = 41.6 (the 6 is repeating)