Here are a few rules with exponents that apply here:
- Raising a power to a power:
![(x^m)^n=x^{m*n}](https://tex.z-dn.net/?f=%28x%5Em%29%5En%3Dx%5E%7Bm%2An%7D)
- Dividing exponents of the same base:
![\frac{x^m}{x^n}=x^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5Em%7D%7Bx%5En%7D%3Dx%5E%7Bm-n%7D)
- Converting negative exponents to positive ones:
![x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m](https://tex.z-dn.net/?f=x%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)
Firstly, solve the outer exponent:
![(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}](https://tex.z-dn.net/?f=%28%5Cfrac%7B4mn%7D%7Bm%5E%7B-2%7Dn%5E%7B6%7D%7D%29%5E%7B-2%7D%3D%5Cfrac%7B4%5E%7B-2%7Dm%5E%7B-2%7Dn%5E%7B-2%7D%7D%7Bm%5E%7B-2%2A-2%7Dn%5E%7B6%2A-2%7D%7D%3D%5Cfrac%7B4%5E%7B-2%7Dm%5E%7B-2%7Dn%5E%7B-2%7D%7D%7Bm%5E4n%5E%7B-12%7D%7D)
Next, divide:
![\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5E%7B-2%7Dm%5E%7B-2%7Dn%5E%7B-2%7D%7D%7Bm%5E4n%5E%7B-12%7D%7D%3D4%5E%7B-2%7Dm%5E%7B-2-4%7Dn%5E%7B-2-%28-12%29%7D%3D4%5E%7B-2%7Dm%5E%7B-6%7Dn%5E%7B10%7D)
Next, convert the negative exponents:
![4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}](https://tex.z-dn.net/?f=4%5E%7B-2%7Dm%5E%7B-6%7Dn%5E%7B10%7D%3D%5Cfrac%7Bn%5E%7B10%7D%7D%7B4%5E2m%5E6%7D%3D%5Cfrac%7Bn%5E%7B10%7D%7D%7B16m%5E6%7D)
<u>Your final answer is n^10/16m^6 , or B.</u>
Answer: 373/50
Step-by-step explanation:
Step 1: convert to a fraction
746% = 746 ÷ 100 = 7.46
7.46 = 373/50
Step 2: Write the number as a fraction of one: 7.46 = 746/100
Step 3: use a common divisor of 2 to reduce the numbers, we have
(746÷2)= 373
(100÷2)=50
when reduced to the simplest form= 373/50
Therefore, 746/ 100 = 373/50 when expressed as a mixed number.
23/40* 100%= 57.5%
Hope this helps~
Answer:
7 ÷ (a - 6)
Step-by-step explanation: