When you multiply a base with an exponent by a base with an exponent, you add the exponents together. (But you can only combine the exponents when the bases are the same)
For example:
(they have the same base of x)
(you can't combine the exponents because they have different bases of y and x)
![2^2(2^1)=2^{(2+1)}=2^3=8](https://tex.z-dn.net/?f=2%5E2%282%5E1%29%3D2%5E%7B%282%2B1%29%7D%3D2%5E3%3D8)
When you have a negative exponent, you move the base with the negative exponent to the other side of the fraction to make the exponent positive.
For example:
or ![\frac{x^{-3}}{1} =\frac{1}{x^3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B-3%7D%7D%7B1%7D%20%3D%5Cfrac%7B1%7D%7Bx%5E3%7D)
or ![y^{2}](https://tex.z-dn.net/?f=y%5E%7B2%7D)
Add the exponents together
![7^{(3+(-5))}](https://tex.z-dn.net/?f=7%5E%7B%283%2B%28-5%29%29%7D)
Make the exponent positive
Simplify
![\frac{1}{49}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B49%7D)
Let the sister be x years old.
Then Jessica is x + 5 years old.
Their ages add to 47.
x + x + 5 = 47
2x + 5 = 47
2x = 42
x = 21
x + 5 = 26
Jessica is 26, and her sister is 21.
Answer:
“It’s not hard to steal points”.........................................so thx for points....................................bye
Step-by-step explanation:
Answer:
Danny does
Step-by-step explanation: 40 / 4 = 10
85 / 5 = 17
10 is less than 17 meaning that Danny is offering a better deal.
Hope this helps!
Answer:
Step-by-step explanation: