When dividing powers that have the same base, subtract the exponents.
So 4³/4⁵ is the same as 4³ ⁻ ⁵ or 4⁻².
When we have a base taken to a negative exponent,
it means the same thing as 1 over the base to the positive exponent.
In other words, we can rewrite 4⁻² as 1/4² or 1/16.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4^3}{4^5}}\\\\\mathsf{= \dfrac{4\times4\times4}{{4\times4\times4\times4\times4}}}\\\\\mathsf{= \dfrac{16\times4}{16\times16\times4}}\\\\\mathsf{= \dfrac{64}{256\times4}}\\\\\mathsf{= \dfrac{64}{1,024}}\\\\\mathsf{= \dfrac{64\div64}{1,024\div64}}\\\\\mathsf{= \dfrac{1}{16}}}\\\\\mathsf{= \dfrac{1}{4^2}}\\\\\\\huge\text{Therefore, your answer should be:}\\\\\huge\boxed{\mathsf{\dfrac{1}{16}\ or\ \dfrac{1}{4^2}}}\huge\checkmark\\\large\text{Both should work because they are equal to each other}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work.
PLEASE HELP!!!!
The composite figure shown is made of a trapezoid and a
square. What is the area of the figure
Answer:
164 ft squared
Step-by-step explanation:
Name the longest and shortest side in each triangle.
Triangles x and y are right-angled.
A) Show that the two shortest sides in triangle x have the same length as the two shorter sides in triangle y.
B)Explain why the two triangle are congruent.
Answer:
give me sec waitttttttt give me sec
A cylinder has a diameter of 14 cm and a volume of 112 Pi cubic centimeters what is the height in centimeters of the cylinder
Answer:
8
Step-by-step explanation:
Combine the two terms: 3x + 8 + -5x + 2
Answer:
10 - 2x
Step-by-step explanation:
3x + 8 + - 5x + 2
- 2x + 8 + 2
10 - 2x
Answer:
-2x+10
Step-by-step explanation:
Combine the variables
-5x+3x= -2x
Combine the other numbers
8+2= 10
-2x+10
Use any strategy to solve 3,600 divided by 9. Upload your work.
Answer:
400
Step-by-step explanation:
3600/9=400
36/9=4
add the zeros back in after
Answer:
400
Step-by-step explanation:
I hope this helps you
Find the value of x.
16)
X = 5
y=-3
What is the solution to the system of equations?
A)
(0,0)
B)
(5.-3)
(-5,3)
D)
(-3,5)
Answer:
B) (5, -3)
Step-by-step explanation:
Daniel measures pieces of wood for a project. These are lengths, In Inches:
3 1/2
10 1/4
4 1/2
6
12 3/4
8
12 1/2
2 1/2
5 1/4
6
9 1/2
12
What is the range of the lengths?
A. 6 in.
B. 7 in .
C.8 1/2 in.
D.10 1/4 in.
E. 12 3/4 in.
This is number three Nd I neeed help with this I can help you with anything
Answer:
a. False
b. False
c. True
d. True
e. True
PLEASE HELP!!!
I’ve been working on this equation for 2 days now and can’t get the right answer I think this is the right way to do it but I’m not sure
Solve for Y in the equation (5y-29) + (3y+19) = 180
Answer:
A - they are vertical angles so they are equal to each other
b - dont really know this one
c - y=24 and 7 and 8 = 89
Step-by-step explanation:
You messed up because the angles given are not supplementary the angles given that are next to 7 and 8 are vertical then we can setup an equation which would be 5y-29=3y+19 and solve for y
step 1 add 29 to each side
5y=3y+48
step 2 subtract each side by 3y
2y=48
step 3 divide each side by 2
y=24
then we plug in 24 to one of the expressions
5(24)=120
120-19=101
but we are not done yet because it is asking for the value of angle 7 and 8
because angle 7 is supplementary to both all we have to do is subtract 101 from 180
180-101=89 so 7 and 8 =89
hope this helps :D
PLEASE HELP AND I KNOW A MANAGER THAT CAN GET YOUR WHOLE EMAIL BANNED SO DON'T TRY ANYTHING AND I KNOW IF YOU'RE GUESSING OR NOT
Answer:
B. 20
Step-by-step explanation:
We need to find a common denominator for 1/5, 1/3, and 3/10, which would be 30. 1/5 = 6/30, 1/3 = 10/30, and 3/10 = 9/30. If we add these together we get 25/30. This leaves 5/30 covered in sprinkles.
Now we need to find what 5/30 of 120 is. We can simplify 5/30 to 1/6. 120 divided by 6 is 20. So, 20 apples are covered in sprinkles.
Answer:
it"s B
Step-by-step explanation:
I just don't have the energy to explain why. sorry pls dont get me banned
Write an equivalent expression that does not use parentheses.
3(6x + 2)
Answer:
Step-by-step explanation:
Apply the Distributive Rule
3(6x+2) = 3·6x + 3·2 = 18x + 6
Which of the following describes the number 6 in the equation 6z = 12?
Help pleas
Answer:
2
Step-by-step explanation:
6x2=12
6z=12=2
12/2=6
Answer:
a term
Step-by-step explanation:
7) In Emily's bead collection, 1/2 of her beads are red and 1/4 of her beads
are green. What fraction of her beads are NOT red?
Nora is going to earn $300 from her summer job. Combined with her savings, Nora will then have $1,500 toward her music school. How much money does Nora have in her savings?
Answer:
1200
Step-by-step explanation:
1,500-300=1200
Point P on a coordinate plane, located 3 units to the left of the vertical axis and 2 units below the horizontal axis.
A. (–3, –2)
B. (–3, 2)
C. (–2, –3)
D. (–3, –3)
Answer:
A. (-3,-2)follow me pleaseHolli’s cheerleading uniform cost $92.58. There are 13 cheerleaders on the squad. How much will it cost for all of the uniforms?
ASAP!
Answer:105.8
Step-by-step explanation: you dived
A line has a slope of 2/3 and passes through the point (6,11)
Answer:
y=2/3x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-11=2/3(x-6)
y=2/3x-12/3+11
y=2/3x-4+11
y=2/3x+7
When the sum of a number and 14 is
divided by 3, the result is 4.
Answer:
it is 4.6 sorry girl
Step-by-step explanation:
Answer:
Step-by-step explanation:
4.6=4 3/5=23/5
PLS HELP!!! :((
Find the volume....
Answer:try this if u can 1330
Step-by-step explanation:
Triangular prisms
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h
Answer:
760in^3
Step-by-step explanation:
You multiple length x width x height
which is 19x10x14
2660 in^3
use the graph below to write the equation of the function
Answer:
c
Step-by-step explanation:
gefhhfeyjhtwgi15287
(question in picture) please help me!!
Answer:
B is the correct answer hope this helps!
2 trifles cost 9 pound
How much will 6 trifles cost?
2 = 9
9 ÷ 2 = 4.5
4.5 x 6 = 27
It will cost 27 pounds.
Hope this helps; have a great day!
If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.
Answer:
A. 12
Step-by-step explanation:
Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:
LJ = 2(LW)
11x + 2 = 2(5x + 2)
11x + 2 = 10x + 4
11x + 2 - 2 = 10x + 4 - 2
11x = 10x + 2
11x - 10x = 10x + 2 - 10x
x = 2
✅LW = 5x + 2
Plug in the value of x
LW = 5(2) + 2
LW = 10 + 2 = 12
. Mr. View is 8 years older than Ms. Sun. In 7 years, the sum of their ages will be 110. How old are they now?
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
Answer:
786240 different license plates.
Step-by-step explanation:
The required number of plates that can be used is 2,599,974.
Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974
Thus, the required number of plates that can be used is 2,599,974.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Which rational number is NOT greater than point A?
Answers:
2 1/4
1.95
2.05
1 6/24
For the following right triangle, find the side length x.
Answer:
17Step-by-step explanation:
We can use the pythogorean theorem which is,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Where c = Hypotenuse
b and a = Legs of the triangle
We have to find the hypotenuse. So let's keep the value of it as x.
we can form an algebraic equation to solve for x
[tex] {15}^{2} + {8}^{2} = {x}^{2} \\ 225 + 64 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]