Answer:0.25
Step-by-step explanation: 4/16 can be simplified to 1/4. Think about it like quarters. You need 4 quarters to have one dollar. If you have one quarter it is equal to $0.25.
Answer:
![\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20x%5E%7B%5Cfrac%7B5%7D%7B3%7D%7Dy%5E%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Given
![\sqrt[3]{x^{5}y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D)
Required
The equivalent expression
We have:
Rewrite as an exponent
![\sqrt[3]{x^{5}y} = (x^{5}y)^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20%28x%5E%7B5%7Dy%29%5E%5Cfrac%7B1%7D%7B3%7D)
Open bracket
![\sqrt[3]{x^{5}y} = x^{5*\frac{1}{3}}y^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20x%5E%7B5%2A%5Cfrac%7B1%7D%7B3%7D%7Dy%5E%5Cfrac%7B1%7D%7B3%7D)
Answer:
E = 3072i - 5904ohms
Step-by-step explanation:
From ohms law recalled that E = IR given already
E = voltage (volts)
I = Current (amps)
R = resistance (ohms)
Therefore, by substitution
I = 16i and R = (2+4)ohms(32+66i)
= 6(32+66i) ohms
= (192+396i)ohms
E = (16i)×(192+396i)
E = 3072i + 5904i²
Recall that i² = -1 from complex number
E = 3072i +5904(-1)
E = 3072i - 5904ohms
Han emperors made ________ the official belief system of the state
