So here are a few rules with exponents that you should know:
- Multiplying exponents of the same base:
![x^m*x^n=x^{m+n}](https://tex.z-dn.net/?f=%20x%5Em%2Ax%5En%3Dx%5E%7Bm%2Bn%7D%20)
- Dividing exponents of the same base:
![x^m\div x^n=x^{m-n}](https://tex.z-dn.net/?f=%20x%5Em%5Cdiv%20x%5En%3Dx%5E%7Bm-n%7D%20)
- Powering a power to a power:
![(x^m)^n=x^{m*n}](https://tex.z-dn.net/?f=%20%28x%5Em%29%5En%3Dx%5E%7Bm%2An%7D%20)
- Converting a negative exponent to a positive one:
![x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m](https://tex.z-dn.net/?f=%20x%5E%7B-m%7D%3D%5Cfrac%7B1%7D%7Bx%5Em%7D%5C%20%5Ctextsf%7Band%7D%5C%20%5Cfrac%7B1%7D%7Bx%5E%7B-m%7D%7D%3Dx%5Em%20)
<h2>1.</h2>
Firstly, solve the outside exponent:
![(2x^3y^7)^{-2}=2^{-2}x^{3*-2}y^{7*-2}=2^{-2}x^{-6}y^{-14}](https://tex.z-dn.net/?f=%20%282x%5E3y%5E7%29%5E%7B-2%7D%3D2%5E%7B-2%7Dx%5E%7B3%2A-2%7Dy%5E%7B7%2A-2%7D%3D2%5E%7B-2%7Dx%5E%7B-6%7Dy%5E%7B-14%7D%20)
Next, convert the negative exponents into positive ones:
![2^{-2}x^{-6}y^{-14}=\frac{1}{2^2x^6y^{14}}=\frac{1}{4x^6y^{14}}](https://tex.z-dn.net/?f=%202%5E%7B-2%7Dx%5E%7B-6%7Dy%5E%7B-14%7D%3D%5Cfrac%7B1%7D%7B2%5E2x%5E6y%5E%7B14%7D%7D%3D%5Cfrac%7B1%7D%7B4x%5E6y%5E%7B14%7D%7D%20)
<u>Your final answer is
</u>
<h2>2.</h2>
For this, just divide:
![\frac{12x^5y^3}{4x^{-1}}=\frac{12}{4}x^{5-(-1)}y^{3-0}=3x^6y^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B12x%5E5y%5E3%7D%7B4x%5E%7B-1%7D%7D%3D%5Cfrac%7B12%7D%7B4%7Dx%5E%7B5-%28-1%29%7Dy%5E%7B3-0%7D%3D3x%5E6y%5E3%20)
<u>Your final answer is
</u>
<h2>3.</h2>
For this, convert all negative exponents into positive ones:
![\frac{r^{-7}b^{-8}}{t^{-4}w}=\frac{t^4}{r^7b^8w}](https://tex.z-dn.net/?f=%20%5Cfrac%7Br%5E%7B-7%7Db%5E%7B-8%7D%7D%7Bt%5E%7B-4%7Dw%7D%3D%5Cfrac%7Bt%5E4%7D%7Br%5E7b%5E8w%7D%20)
<u>Your final answer is
</u>
Given
Find out the what was the insurance company's payment .
To proof
As given
Sally Jones pays $50.00 a month for group health insurance
There is a $300 deductible
Her medical bills for the last year were $2,600.00
Linda's insurance company provided payment of 80% of the bills less the deductible.
Deductible
The amount of money you will pay in an insurance claim before the insurance company starts paying you.
medical bill reducing the deductible = $2,600 - $300
= $2300
80 % is written in the decimal form
![= \frac{80}{100}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B80%7D%7B100%7D)
= 0.8
than the equation becomes
Linda's insurance company provided payment = 0.8× 2300
= $1840
Therefore the the insurance company's payment be $1840 .
Hence proved
Answer:
35 degrees
Step-by-step explanation:
90 -55 = 35
Why u have so much letters lol what u need help on
Answer:
![t = 9](https://tex.z-dn.net/?f=t%20%3D%209)
Step-by-step explanation:
![11t - 6t = 45](https://tex.z-dn.net/?f=11t%20-%206t%20%3D%2045)
![5t = 45](https://tex.z-dn.net/?f=5t%20%3D%2045)
<h3>
![t = \frac{45}{5}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B45%7D%7B5%7D%20)
</h3>
![t = 9](https://tex.z-dn.net/?f=t%20%3D%209)
<h3>Hope it is helpful....</h3>