what is the value of the expression below? (64^3)^1/6

Answers

Answer 1

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer 2

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)


Related Questions

The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day.

Which statement is supported by the information in the dot plots?


A) The mean of the data for Store 1 is greater than the mean of the data for Store2
B) The mode of the data for Store 2 is greater than the mode of the data for Store1
C) The median of the data for Store 2 is greater than the median of the data for Store1
D) The range of the data for Store 1 is greater than the range of the data for Store2

Answers

Answer:

A

Step-by-step explanation:

since mean is the most annoying to calculate I went through and did everything else, the range is the same as both charts go 0-6. The median is is the middle number which means store 1 has a higher number of 3' s but our option says store 2 is greater and B is the mode, the number that shows up the most.

I need the answers plsss. I will mark brainiest.

Answers

Answer:

number 1 is true

Step-by-step explanation:

what is the difference between
7z
and z to the power of 7

Answers

Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

z⁷= z ×z ×z ×z ×z ×z ×z

You have $5. You pay someone $3. You receive a gift of $4.

Answers

You have $6 in the end.

5 - 3 + 4 = 6

XS30
Question Help
Swimming Pool On a certain hot summer's day, 494 people used the public swimming pool. The
daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1001.25
How many children and how many adults swam at the public pool that day?

Answers

Answer:

A=307, c=187

Step-by-step explanation:

GIVING 50 POINTS IF YOU ANSWER!!!!

Answers

Answer:

MAD would be more similar than mean

Step-by-step explanation:

Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!

Show or explain your answer

Answers

Answer:

This is an exponential function:

A(s) = 2^s, where A- population of alien's, s - number of splits (or hours)

For the alien population become larger than 79942, time required:

2^s > 79942log 2^s > log 79942s > log 79942/ log 2s > 16

17 hours

For the alien population become larger than 330232606, time required:

2^s > 330232606log 2^s > log 330232606s > log 330232606 / log 2s > 28

29 hours

Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?

Answers

Answer:

12w=108

Step-by-step explanation:

Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?

Answer:

12w=180

Step-by-step explanation:

hey its me

If ADB= 15° then What is ACB

Answers

Answer:

30 degrees

Step-by-step explanation:

<ACB is a central angle while <ADB is an inscribed angle.

Central angles are twice the size of inscribed angles.

Therefore, <ADB*2 = <ACB . 15*2=30

E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)

Answers

Answer:

7a+6b+1

...............

Answer:

7a+6b+1

Step-by-step explanation:

2a+3b+2+3a+5b-1+2a-2b=7a+6b+1

Combine like termsUse this fact:

(+)×(+)=+ (-)×(-)=+

(+)×(-)=- (-)×(+)=-

15–80÷4^2×2 as a expression using the order of operations.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Do PEMDAS}[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Exponents}[/tex]

[tex]\large\text{Multiplication}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Subtraction}[/tex]

[tex]\mathsf{15 - 80\div4^2\times2}[/tex]

[tex]\mathsf{4^2}[/tex]

[tex]\mathsf{= 4\times 4}[/tex]

[tex]\mathsf{= \bf 16}[/tex]

[tex]\mathsf{15 - 80\div16\times 2}[/tex]

[tex]\mathsf{80\div16}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\mathsf{15 - 5\times2 }[/tex]

5 × 2 = 10

[tex]\mathsf{15 - 10}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

This right triangular prism has a base with an area of 15 square feet. The height of the prism is 7 feet. What is V, the volume of the triangular prism?

Answers

Answer:

[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]

Answer:

105

Step-by-step explanation:

its right trust me

but make sure this is the question that you are doing

A parallelogram has an area of 324 square feet and a base of 13.5 ft. how long is the height of the parallelogram? please help me!!​

Answers

The answer is h=24ft.

Factorise the following completely: (4 marks)

a)a) 81

Answers

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.

hewp pwease ☺️thanks

Answers

The Answer Is 35 Inches Squared

I will mark branliest if correct

Answers

Answer:

The answer is: y = - |x+1|+1

How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters
and a height of 18 meters?

(A) 162 cubic meters
(B) 24 cubic meters
(C) 324 cubic meters
(D) 108 cubic meters

Answers

Answer:

A

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

Consider the following IP problem.
Max z = 5x1+x2
s.t. − x1 + 2x2 ≤ 4
x1 − x2 ≤ 1
4x1 + x2 ≤ 12
x1,x2 ∈Z+
1. Solve graphically
2. Solve the LP relaxation of the problem graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each non-integer value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate z. Are any of these feasible rounded solutions optimal for the IP problem?

Answers

Answer:

See Annex

Step-by-step explanation:

The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.

In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :

z(max)  = 11

x₁  = x  = 2

x₂ = y  = 1

The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4​

Answers

Answer:

C:  3

Step-by-step explanation:

The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.

I think 4 and don’t click on any links plz and thank you hope this is right and this helps

can someone find the length of the spine plss

Answers

Answer:

48.2 cm

Step-by-step explanation:

The bottom side of the large triangle has length 78 cm.

The bottom side of the right triangle has length 78 cm/2 = 39 cm.

Now we use the Pythagorean theorem to find the vertical side, the spine.

39² + s² = 62²

s² = 3844 - 1521

s² = 2323

s = 48.2

Answer: 48.2 cm

THE FUNCTION! f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts what is the height of the right endpoint of the kth rectangle?

Answers

f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts the height of the right endpoint of the kth rectangle is mathematically given as

H endpoint = -2+k x5/n. Option A is correct

what is the height of the right endpoint of the kth rectangle?

Generally, the equation for the function is  mathematically given as

f(x) = x^2+4

interval is divided = 5/n

endpoint =k x 5/n

therefore,

H endpoint = -2+k x5/n

In conclusion, the height of the right endpoint of the kth rectangle is

H endpoint = -2+k x5/n

Read more about   rectangle

https://brainly.com/question/16167300

#SPJ1

At which angle will the hexagon rotate so that it maps onto itself?

Answers

Answer: 180° or 120°

Answer:

60 degrees

Step-by-step explanation:

Formula is 360/n & n= number of sides the shapes have .. so 360/6 =60

4.3x10^3 in standard notation

Answers

Answer:

4300

Step-by-step explanation:

i think this is what you want

There is a group of 8 people ordering pizza. If each person
gets 3 slices and each pizza has 5 slices, how many pizzas
should they order?

Answers

Answer:

5 pizzas

Step-by-step explanation:

8people times 3slices = 24 slices needed

24slices/ 5 pizzas per box= 4.8   you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.

Pleeeeeeeaaase answer quick. With explanation. Will give 40 points

Answers

Answer:

See attached

Step-by-step explanation:

Review the picture

I'm really stuck and need help asap. ​

Answers

a = 8

b = 1/4

c = 1

hope this helped :)

Answer:

ax= 8x, by=1/4y and c=1 try that

Plz need help fast.....

Answers

Answer:

See Below

Step-by-step explanation:

1: -9 Take the Square Root of 81 and then multiply by -1.

2: +- 1/3  1/3 *1/3= 1/9

3: -1  -1*-1*-1 = -1

Have a Great day!

When rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply

Answers

I don’t see the selections.

Here are some examples:
229000–> round 230000
231000–> round 230000

Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
Mark for review (Will be highlighted on the review page)
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Answers

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you

Help please. Need answers asap.

Answers

Answer:

a) 3

b) 30

c)48.8

don't forget to follow me
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