Answers
Answer:
we conclude that:
[tex]\left(5^{-2}\right)^2=5^2\cdot \:\:\:5^{-6}=\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}[/tex]
Hence, options A and D are true.
Step-by-step explanation:
Given the expression
[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}=\frac{1\cdot \:\:1\cdot \:\:1\cdot \:\:1}{5\cdot \:\:5\cdot \:\:5\cdot \:\:5}[/tex]
[tex]=\frac{1}{5\cdot \:5\cdot \:5\cdot \:5}[/tex]
[tex]=\frac{1}{5^4}[/tex]
[tex]=\frac{1}{625}[/tex]
Checking options B and C:
Option B
[tex]\left(5^{-4}\right)^0=1[/tex]
Option C
[tex]\frac{5^1}{5^4}=\frac{5}{625}=\frac{1}{125}[/tex]
Thus, options B and C are not equivalent!
Checking Option A
Option A
[tex]\left(5^{-2}\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(5^{-2}\right)^2=5^{-2\cdot \:2}[/tex]
[tex]=5^{-4}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{5^4}[/tex]
[tex]=\frac{1}{625}[/tex]
Now, checking option D
Option D
[tex]5^2\cdot \:5^{-6}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]5^2\cdot 5^{-6}=5^{2-6}[/tex]
[tex]=5^{-4}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{5^4}[/tex]
[tex]=\frac{1}{625}[/tex]
Therefore, we conclude that:
[tex]\left(5^{-2}\right)^2=5^2\cdot \:\:\:5^{-6}=\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}[/tex]
Hence, options A and D are true.
Related Questions
State if the three numbers can be the measures of the sides of a triangle. Show your work
1) 7,2,6
2) 11,2,11
Answers
Answer: 2
Step-by-step explanation:
what is Negative 3 1/2 minus 1 5/6?
Answers
Answer:
-3 1/2 - 1 5/6 = -16/ 3 = -5 1/ 3
≅ -5.3333333
Noah ran 2 1/2 miles in 3/5 hour. How far does he run in 1 hour?
Answers
Step-by-step explanation:
0.6 hours = 2.5 miles
=> 1 hour = 2.5 miles * (1/0.6) = 4.16 miles.
Hence Noan runs 4.16 miles in 1 hour.
(or 25/6 miles)
A and b are two cyclinders that are mathematically similar. The area of the cross section of cyclinder A is 18cm^2 work out the volume of cyclinder b
Answers
Answer:
THE VOLUME IS 36 CM2, its pretty easy
Step-by-step explanation:
Answer:
720cm^3
you have to use cubed on mathswatch not( ^ )or you will not get he point
Joe is arranging video games on shelves. He has 48 playstation games and 36 xbox games, Each shelf will have the same number of playstation and xbox games. If Joe must place all of the videogames on shelves, what are the possible number of shelves Joe will use?
Answers
Answer:
2 shelves
3 shelves
4 shelves
6 shelves
12 shelves
Step-by-step explanation:
playstation games = 48
xbox games = 36
Each shelf will have the same number of playstation and xbox games.
Find the common multiples of 48 and 36
48 = 2, 3, 4, 6, 8, 12, 16, 24, 48
36 = 2, 3, 4, 6, 9, 12, 18, 36
The common multiples are 2, 3, 4, 6, and 12
Therefore, the possible number of shelves Joe will use is
2 shelves
3 shelves
4 shelves
6 shelves
12 shelves
3. What is the equation in slope intercept
form of the line that passes through the
point (2,-2) and is perpendicular to the
line y =2/5x+2
A.
y= 2/5x - 7
B.
y=-2/5x+7
C.
y=5/2x-3
D.
y=-5/2x+3
Answers
Answer:
A
Step-by-step explanation:
If you plug in (2, -2) to each one, you would get -2= 5/2(2)-7
5/2 = 2.5 and 2.5 x 2 = 5, 5-7 does in fact equal the Y which is -2
3. Angle g and angle h are:
A. adjacent
B. congruent
C. complementary
D. vertical
Answers
Answer: Adjacent angle you can look it up you know that right
can you help me with my stem and leaf question?
Answers
Answer:
Step-by-step explanation:
Given data set is 3, 8, 12, 12, 14, 20, 21, 23, 26, 34.
So the stem and leaf set will be,
0 | 3 8
1 | 2 2 4
2 | 0 1 3 6
3 | 4
Key :
1 | 4 means 14
Plz help i am confusion
Answers
Answer:
NO solution , the -17y at both sides will cancel ,so no variable left
Step-by-step explanation:
Answer:
AStep-by-step explanation:
-17(y-2)=-17y+64
-17y+34=-17y+64
34=64
therefore
y€∅
The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
the point whose coordinates are
A. (2,-2)
B. (5, -1)
C. (1,3)
D. (2,2)
Answers
D. X=2 Y=2.
Factor the expression.
49.12
- 16
O A
(4x + 7)(4x - 7)
B. (7x + 4)(7x-4)
C. (7x-4)(7x-4)
OD. (4x-7)(4x - 7)
Answers
Step-by-step explanation:
Difference of squares: A² - B² = (A + B)(A - B).
Therefore 49x² - 16 = (7x)² - (4)² = (7x + 4)(7x - 4).
The correct answer is Option B.
The Top One please ASAP first one gets brainliest only if you actually answer
Answers
Step-by-step explanation:
3 books /minute
how many books in 3 hours
3 hours= 180 minutes
540 books in 3 hours
in 5 hours=300 minutes
900 books in 5 hours
in n hours
180*n books in n hours
Please help whats 1 4/6 plus 3
Answers
Answer:
4 and 4/6
Step-by-step explanation:
Find the perimeter of a 35° slice of pizza that has a radius of 8 inches.
Answers
9514 1404 393
Answer:
20.9 inches
Step-by-step explanation:
The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.
P = r + r + rα . . . . . where α is the central angle in radians
35° is (35°/180°)π radians, about 0.6109 radians
Then the perimeter is ...
P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in
The perimeter of the slice is about 20.9 inches.
please help me and ill mark brainlist also explain
Answers
Answer:
there is no question I'm sorry but I will take brainlyist
Which sentence best describes the equation: z = 18 + 96
Answers
Answer:
A
Step-by-step explanation:
Z is the same as the answer to the equation so if you add 18 and 96 together you will get z
also sum means adding
Answer: a
Step-by-step explanation:
the answer has addition and it says 18+96=z so i believe that theyre trying to say that whatever you add is gonna equal z so i believe the correct answer is a (:
Please give me the correct answer
Answers
Answer:
it's answer is 3.75
Step-by-step explanation:
Hypotenuse (h) = 6.25
Perpendicular (p) = 5
base (b) = ?
By using Pythagoras theorem we get
b = √ ( h² - p²)
= √( 6.25)² - 5²
= √ 14.0625
= √(3.75)²
= 3.75
Hope it will help:)❤
By Pythagoras theorem, a^2+b^2=c^2
The answer is 3.75
Find the value of x answer: A.4 B.8 C.6.6 D.6
Answers
Answer:
The value of x is 4
Step-by-step explanation:
From what we can see in the diagram , the bigger triangle has lengths that are twice the smaller one
Thus, mathematically;
2(3x-4) = 16
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 12/3
x = 4
Hey guys, I need this question in about 2 minutes, please help.
Answers
Answer:
Well I got 9 log 10 (2)/ 3-3log10 (5)
Please correct me if I am wrong
Step-by-step explanation:
You have to apply the rule alogc (b) (b^a)
= [tex]\frac{log10(\sqrt{8))^{4}-log10((\frac{1}{2}))^{3}) } }{3-6log10(\sqrt{5}) }[/tex]
\frac{\log _{10}\left(\frac{\left(\sqrt{8}\right)^4}{\left(\frac{1}{2}\right)^3}\right)}{3-6\log _{10}\left(\sqrt{5}\right)}
What is the slope of the line graphed on the coordinate plane?
Put your answer in the box
Answers
Answer:
-8
Step-by-step explanation:
As we know, slope is rise over run. We count up and over until we get to the next dot. To get to the next dot, we count 8 up and -1 over (since we go to the left, not the right). We can put this in a fraction (rise/run). That gets us 8/-1, which can be simplified to -8.
Z + y + 0 = z + y equals to what?
Answers
Answer:
y=0/0
Step-by-step explanation:
Step 1: Add -y to both sides.
y+z+−y=y+z+−y
z=z
Step 2: Add -z to both sides.
z+−z=z+−z
0=0
Step 3: Divide both sides by 0.
0/0=0/0
y=0/0
For this 45-45-90 trinagle...??
Answers
Answer:
[tex] {x}^{2} + {x}^{2} = {(3 \sqrt{2} )}^{2} \\ 2 {x}^{2} = 18 \\ {x}^{2} = \frac{18}{2} \\ {x}^{2} = 9 \\ \boxed{x = 3}[/tex]
Therefore the length of the legs is 3.
Danny "spent $37.35 on 15 gallons of gasoline. What was the price per gallon?"
Answers
Answer:
$2.49
Divide the total by the gallons, then you get the price per gallon
Step-by-step explanation:
Given h(x) = 5x + 2, find h(-6).
Answers
Could anyone help me out please?
Answers
Answer:
19.6
I am not sure of my answer
Please help me!!!!!
What are the vales of x and y?
Answers
Answer:
i only no y, y=4 I hope this helps
Melissa had d dollars. She earned 5 more dollars babysitting
Answers
Answer:
D + 5
Step-by-step explanation:
Is this is an expression you have to write the answer would be d + 5
Please help im running out of time
Answers
Answer:
B
Angle on a straight line is 180 degrees. Angle ABC is 90. You're given angle FBE as 47. So, it is 180-(90+47)= 43. That's the angle ABF.
Help me with this pls
Answers
Answer:
x=55
Step-by-step explanation:
90 degree angle
90-35=55
x and 35 are complimentary angles, meaning they are equal to 90. To find the value of x, you just need to subtract 35 from 90!
I have nothing good to offer, but please help!
What is true about all the points on the y-axis in Quadrant 1?
(Look at picture for details)