Answer: you have to see how many gallons fill the container per minute, so take 3/4 and divide it by 1/5, which gives 15/4. So he multiplied the two numbers instead of dividing.
Step-by-step explanation:
Step-by-step explanation:
Pears manu have = 16
After sten gives = 16 + 10 = 26
Then manu gave to Klara = 26 - 8 = 18
The answer is 18
Manu have 18 Pears left
Answer: 2i
Step-by-step explanation:
![\frac{2+2i}{1-i}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B2i%7D%7B1-i%7D)
![=\frac{\left(2\cdot \:1+2\left(-1\right)\right)+\left(2\cdot \:1-2\left(-1\right)\right)i}{1^2+\left(-1\right)^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cleft%282%5Ccdot%20%5C%3A1%2B2%5Cleft%28-1%5Cright%29%5Cright%29%2B%5Cleft%282%5Ccdot%20%5C%3A1-2%5Cleft%28-1%5Cright%29%5Cright%29i%7D%7B1%5E2%2B%5Cleft%28-1%5Cright%29%5E2%7D)
![=\frac{4i}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4i%7D%7B2%7D)
![=2i](https://tex.z-dn.net/?f=%3D2i)
Answer:
Whats the question?
Step-by-step explanation:
You first multiply the outside exponents into the numbers in the parentheses.
When you have an exponent being multiplied directly to another exponent, you multiply the exponents together.
For example(because I am a bad explainer):
![(x^{2} )^4= x^{2(4)} = x^8](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%29%5E4%3D%20x%5E%7B2%284%29%7D%20%3D%20x%5E8)
![(x^4)^3 = x^{4(3)} = x^{12}](https://tex.z-dn.net/?f=%28x%5E4%29%5E3%20%3D%20x%5E%7B4%283%29%7D%20%3D%20x%5E%7B12%7D)
When you divide an exponent by an exponent, you subtract the exponents
For example:
![\frac{x^4}{x^1} =x^{4-1}=x^3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E4%7D%7Bx%5E1%7D%20%3Dx%5E%7B4-1%7D%3Dx%5E3)
When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive
For example:
![x^{-3}=\frac{1}{x^3}](https://tex.z-dn.net/?f=x%5E%7B-3%7D%3D%5Cfrac%7B1%7D%7Bx%5E3%7D)
![\frac{1}{y^{-5}}=\frac{y^5}{1}=y^5](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7By%5E%7B-5%7D%7D%3D%5Cfrac%7By%5E5%7D%7B1%7D%3Dy%5E5)
![\frac{(3a^2b)^3}{9(ab)^4}](https://tex.z-dn.net/?f=%5Cfrac%7B%283a%5E2b%29%5E3%7D%7B9%28ab%29%5E4%7D)
You can think of it like this if you want:
Now multiply the outside exponents into the exponents in the parentheses
Divide 27 and 9
![\frac{3a^6b^3}{a^4b^4} =(3)(a^{6-4})(b^{3-4})=(3)(a^2)(b^{-1})=(3)(a^2)(\frac{1}{b^1})=\frac{3a^2}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B3a%5E6b%5E3%7D%7Ba%5E4b%5E4%7D%20%3D%283%29%28a%5E%7B6-4%7D%29%28b%5E%7B3-4%7D%29%3D%283%29%28a%5E2%29%28b%5E%7B-1%7D%29%3D%283%29%28a%5E2%29%28%5Cfrac%7B1%7D%7Bb%5E1%7D%29%3D%5Cfrac%7B3a%5E2%7D%7Bb%7D)
Your answer is ![\frac{3a^2}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B3a%5E2%7D%7Bb%7D)