2 is the base and (
![\sqrt[4][a^5 b^3]](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%5Ba%5E5%20b%5E3%5D)
) is the exponent.
the 4 is called an index and it means to fi d the fourth root of the expression under the (
![\sqrt[][text]) symbol.\\a fourth root is a factor that was multiplied four times. ex: 2*2*2*2=16. the fourth root of 16 is two. \\when you do square roots, you take the number representing the factor out of the radical. anything else that is not a square root stays under. ex: \\([tex]\sqrt[9][text])\\([tex]\sqrt[3*3*3][text]) there is one set of two 3's so\\([tex]3\sqrt[3][text])\\with a fourth root, you look for groups of four. the symbol of that group is placed outside the radical. anything else stays in.\\ ([tex]\sqrt[4][a^5 b^3]](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%5Btext%5D%29%20symbol.%5C%5Ca%20fourth%20root%20is%20a%20factor%20that%20was%20multiplied%20four%20times.%20ex%3A%202%2A2%2A2%2A2%3D16.%20the%20fourth%20root%20of%2016%20is%20two.%20%5C%5Cwhen%20you%20do%20square%20roots%2C%20you%20take%20the%20number%20representing%20the%20factor%20out%20of%20the%20radical.%20anything%20else%20that%20is%20not%20a%20square%20root%20stays%20under.%20ex%3A%20%5C%5C%28%5Btex%5D%5Csqrt%5B9%5D%5Btext%5D%29%5C%5C%28%5Btex%5D%5Csqrt%5B3%2A3%2A3%5D%5Btext%5D%29%20there%20is%20one%20set%20of%20two%203%27s%20so%5C%5C%28%5Btex%5D3%5Csqrt%5B3%5D%5Btext%5D%29%5C%5Cwith%20a%20fourth%20root%2C%20you%20look%20for%20groups%20of%20four.%20the%20symbol%20of%20that%20group%20is%20placed%20outside%20the%20radical.%20anything%20else%20stays%20in.%5C%5C%20%28%5Btex%5D%5Csqrt%5B4%5D%5Ba%5E5%20b%5E3%5D)
)
(
![\sqrt[4][a*a*a*a*a*b*b*b]](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%5Ba%2Aa%2Aa%2Aa%2Aa%2Ab%2Ab%2Ab%5D)
) there is one group of 4 a's so
(
![a\sqrt[4][a* b^3]](https://tex.z-dn.net/?f=a%5Csqrt%5B4%5D%5Ba%2A%20b%5E3%5D)
)
there really isn't anything else to do to simplify the expression
Answer:
quotient: 4x^3 -4x^2 -x +6
remainder: 3
Step-by-step explanation:
See the attached for the long division. As with any long division, at each step, the quotient term multiplies the divisor and the result is subtracted to form the new dividend.
Answer:
20 units
Step-by-step explanation:
This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.
Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.
Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.
Perimeter of each L-shape region = the addition of the length of each side of the shape
Perimeter of each L-shape region = 8 + 5 + 5 + 2
= 20 units
Answer:
B) 60.21 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches
8’6”=102’
14’2”=170’
Now find the area
1/2 x 102 x 170 = 8670 in²
This is one of the answers, but the quetion asks how many quart feet you need.
So, convert it back to feet.
8670 x 0.06944444444 = 60.2083333
(You could also have converted the two lengths to feet. 8’6” = 8.5 ft. 14’2” = 14.16666666. This way would probably have been faster.
1/2 x 8.5 x 14.166666 = 60.20833333)
Answer:
quadrant 3
Step-by-step explanation:
Cuz x and y are in the negative if they’re both less than 0
