Write 2^60 as an exponent with a base of: b 16

Answers

Answer 1

Answer:

im pretty sure you tried to say

Write 2^60 as an exponent with a base of:

a) 8

b) 16

c) 32

the answer is :

8^20 (eight to the twentieth power)

Answer 2

[tex]2^{60}[/tex] is equivalent to [tex]16^{15}[/tex].

We can rewrite the expression by means of the following power property, that is to say:

[tex]a^{b\cdot c} = (a^{b})^c[/tex], [tex]a, b, c\in \mathbb{N}[/tex] (1)

Where [tex]a[/tex] and [tex]a^{b}[/tex] are bases.

If we know that [tex]a = 2[/tex] and [tex]b\cdot c = 60[/tex], then the equivalent expression is:

[tex]2^{60} = 2^{4\cdot 15} = (2^{4})^{15} = 16^{15}[/tex]

Hence, [tex]2^{60}[/tex] is equivalent to [tex]16^{15}[/tex].

We kindly invite to check this question on power operations: https://brainly.com/question/18112557


Related Questions

Solve for a.

Pythagorean Theorem: a^2+b^2=c^2

Answers

Answer:

square root of 16

Step-by-step explanation:

3
If a is 63% of x and c is
8
the closest equivalent of the ratio of a to c?
ã of x, which of the following is
O
С C
E

Answers

Answer:

The closest equivalent of the ratio of a to c will be:

a/c=1.680

Step-by-step explanation:

As 'a' is 63% of x

so

[tex]a=0.63x[/tex]

As 'c' is 3/8 of x

so

c=3/8

Thus, the closest equivalent of the ratio of a to c will be:

a/c = (0.63x)/(3/8x)

      = 1.680

Therefore, the closest equivalent of the ratio of a to c will be:

a/c=1.680

(Ill give brainliest!! Pls explain your reasoning tho)



What is a reasonable estimate for the equation 9.8 ÷ 5 = ________?


A) 6

B) 5

C) 3

D) 2

Answers

Answer:

i think its C

Step-by-step explanation:

I dunno i just think its C

what is the value of P+Q+R+S?

Answers

The question is not clear at all

Declan has $45 dollars in his bank account. He accidentally breaks a glass and has to pay to replace it. He now has $9 in his bank account. What is the percent decrease?

Answers

Answer: The percent decrease is 98.44 brainliest please :)

Marty collects colorful paper clips. Each week he is sure to add exactly five new paper clips to his collection. Make a table representing this situation. Is the number of paper clips and arithmetic or geometric sequence? How do you know? I need the answer by today please​. Whoever answer is correct I will make brainliest​

Answers

Answer:

all of them

Step-by-step explanation:

What is the volume of a cylinder ft, with a height of 9 feet in a base diameter of 16ft? Round to the nearest tenths place ?

Answers

1809.56ft³ <<<<<<<<<<<<<<<<Answer

Answer:

452.7 ft³

Step-by-step explanation:

sooooo first you find the radius of the base.

Radius=16/2=8

now you find the area of the base:

Area of a circle=2(pi)(radius)=50.3 ( rounded up to the nearest 10ths)

now to get the volume:

volume of a cylinder=Base*hight=50.3*9= 452.7 ft³

please help asap question 3****

Answers

Answer:

answer is c

Step-by-step explanation:

C is the only one with the correct slope

PLZ ANSWER THIS AND GIVE AN EXPLANATION!!!
I WILL MARK BRAINLIEST!!!

Answers

Answer:

-3+(-5)=-8

-5+(-3) is also -8

Step-by-step explanation:

if the parenthesis is separating the + and - then you just add the numbers and add the symbol.

PLEASE HELP
Which is the function represented by the table?

Answers

Answer:

f(x) = 4x

Step-by-step explanation:

-2 x 4 = -8

-1 x 4 = -4

0 x 4 = 0

1 x 4 = 4

In the diagram shown, M, N and P are collinear and QM=QN as shown. If mMQN = 48" and
mNQP = 33. Justify why QNP must be isosceles.

Answers

Answer/Step-by-step explanation:

Let's find the measure of the angles of ∆QNP.

∆QMN is am isosceles ∆, because it has two equal sides. Therefore, its base angles would be the same. Thus:

m<MNQ = ½(180 - 48) (one of the base angles of ∆QMN)

m<MNQ = ½(132) = 66°

Next, find m<QNP

m<QNP = 180° - m<MNQ (linear pair angles)

m<QNP = 180° - 66° (Substitution)

m<QNP = 114°

Next, find m<P

m<P = 180 - (m<QNP + m<PQN) (sum of ∆)

m<P = 180 - (114 + 33)

m<P = 180 - 147

m<P = 33°

Thus, in ∆QNP, there are two equal angles, namely, <P and <PQN.

An isosceles ∆ had two equal base angles. Therefore, ∆QNP must be an isosceles ∆.

An isosceles triangle is that the triangle must have two sides of equal length.

Triangle QNP is isosceles triangle because, QN = PN

In triangle QMN,  

        Since,  QM = QN

 So,  ∠QMN = ∠QNM

By property of triangle:

∠MQN + ∠QNM + ∠QMN = 180

   48 + 2 ∠QNM = 180

              ∠QNM = [tex]\frac{180-48}{2}[/tex] = 66  degree

  So, ∠QMN = ∠QNM = 66 degree

from figure,

    ∠QNM + ∠QNP = 180

                    ∠QNP = 180 - 66 = 114 degree.

In triangle QNP,  

              ∠QNP + ∠PQN + ∠QPN = 180

                        ∠QPN = 180 - 33 - 114 = 33 degree

Since,     ∠QNP = ∠QPN = 33 degree

Therefore, triangle QNP is isosceles triangle.

Learn more:

https://brainly.com/question/19414224

The elephant's foot was discovered a couple months after the meltdown. This was the result of the reactor Melting creating lava

Answers

Answer:

Ok, that‘s not a question, it‘s a statemen. So what‘s your point

Step-by-step explanation:

Rewrite the equation -3x+6y=42 in slope intercept form. Show all steps to receive full credit

Answers

Answer:

-3x+6y=42

-3x+6y-42=0

-x+2y-14=0

x-2y+14=0

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + c

-3x + 6y = 42

        6y = 3x + 42

          y = [tex]\frac{3}{6}x + \frac{42}{6}[/tex]

      y = [tex]\frac{1}{2}x + 7[/tex]

I have 12 coins x of them are R5 coins and the rest are R1 coins. An expression in the in terms of x for the number of R1 coins I have is​

Answers

Answer:

ans= 12-x=r1 coin...

Step-by-step explanation:

hope u can do..

what comes first on a slope x or y

Answers

Answer:

x

Step-by-step explanation:

Answer:

when you are graphing do x first

Step-by-step explanation:

The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point. It is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope.

which table represents a proportional relationship that has a constant proportionality equal to 0.8

Answers

Answer:

1x0.8=0.8 ,10x0.08=0.8 and 100x0.008=0.8

Step-by-step explanation:

happy thanksgiveing <3

Answers

Answer:

ty!

Step-by-step explanation:

Subtract 52.35 − 1.58 =

(5 points)

Answers

Answer: 50.77
It says I need more characters, so I’m adding this

Answer:

52.35-1.58= 50.77

Step-by-step explanation:

combine like terms 2.4m- 125 + 1.8b+ 92.4​

Answers

Answer:

2.4m+1.8b−32.6

Step-by-step explanation:

Group like terms together

1. 2.4 m + \left( - 125 + 92.4 \right) + 1.8 b2.4m+(−125+92.4)+1.8b

2 . Add or subtract the numbers

2.4 m- 32.6 + 1.8 b2.4m−32.6+1.8b

3 . Rearrange the expression

2.4 m + 1.8 b- 32.62.4m+1.8b−32.6

Answer:

2.4m+1.8b-32.6

Step-by-step explanation:

2.4m- 125 + 1.8b+ 92.4​

2.4m+1.8b-32.6

How many yards will the players have run ?? Please help

Answers

Answer:

125.3 yards

Step-by-step explanation:

He wants them to run the  so 110^2+60^2 =which is 125.3.

Hope this helps plz mark brainliest :D

change 0.18 into a ratio​

Answers

Please mark me as Brainliest ......
The answer is 9:50
0.18= 0.18/1
Divided both 0.18 and 1 by 100 to get 18/100
Then divide 18/100 by 2
18 ÷2
100 ÷2 = 9/50

Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.

Answers

So you would do 900÷18 to get the amount each worker is worth, which would be 50 minerals.

Answer: m=50w

Step-by-step explanation:

When you divide 900 by 18, you get 50.

Since we are trying to find the amount of minerals per worker, m is the first variable. w is the second because that is the number of workers you can get with the minerals Scarlett has.

School lunch costs $1.25 per day. If there are 21 school days
this month, how much would it cost to eat at school all
month?. SHOW YOUR WORK., i need help asap

Answers

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

It will cost you $26.25 dollar for 21 days.

You have 48 markers, 64 stickers, how many bags can you put them in equally

Answers

Answer:

8

Step-by-step explanation:

1) find the least common denominator

48/8=6

64/8=8

2) check

8 times 6 is 49

8 times 8 is 64

please make a word problem out of this equation x + 3 > 2
like someone make a word problem like bob had this much apples something like that with that equation.
please and Thankyou​

Answers

Answer:

Bob had x apples and Mary had 2 apples. After Bob received 3 more apples from his mother, Bob had more apples than Mary. How many apples did Bob have at first?

Step-by-step explanation:

The inequality sign > shows that x + 3 is more than 2.

In the following expression, both A and B are variables that can take positive values.
2\sqrt(A)-(B)/(5)

Which of these actions will cause the expression's value to increase?

Choose 2 answers:

(Choice A)
Keeping A constant and increasing B

(Choice B)
B
Keeping A constant and decreasing B

(Choice C)
C
Increasing A and keeping B constant

(Choice D)
D
Decreasing A and keeping B constant

Answers

Answer:

(Choice B) Keeping A constant and decreasing B

(Choice C) Increasing A and keeping B constant

Step-by-step explanation:

Let us analyze these two options.

2√a - b /5

(Choice B) Keeping A constant and decreasing B

Let a = 100 and b= 30

2√100 - 30/5

= 2(10) - 6

= 20 -6= 14

But if A is kept constant and B is decreased to 20

2√100 - 20/5

= 2(10) - 4

= 20 -4= 16

We see the expression value has increased from 14 to 16.

Similarly analyzing Option C

(Choice C) Increasing A and keeping B constant

Let a = 100 and b= 30

2√100 - 30/5

= 2(10) - 6

= 20 -6= 14

Now increasing A to 121 and keeping B constant would give

Let a = 100 and b= 30

2√121 - 30/5

= 2(11) - 6

= 22 -6= 16

This also increases the expression's value

But the other two choice A and D do not give the same result.

Let a = 100 and b= 30

2√100 - 30/5

= 2(10) - 6

= 20 -6= 14

(Choice A)

Keeping A constant and increasing B

2√100 - 40/5

= 2(10) - 8

= 20 -8= 12

This decreases the value .

Also

(Choice D)

Decreasing A and keeping B constant

2√81 - 40/5

= 2(9) - 8

= 18 -8= 10

This also decreases value

The correct choices are B and C

Answer:

the acutal solution is B and D

Betty is making a scale model of her house as a project for her math class. The scale she is using is 1 inch: 4 feet. The actual house is 80 feet long. What will be the length of the model?

Answers

Answer:

20 inches

Step-by-step explanation:

80 / 4 = 20 !!!!! <3

Which ratio is equivalent to the ratio 7 : 350?

Answers

Answer:

Choice D. 17:850

Answer:

D

Step-by-step explanation:

17/7=2.42857142857

multiply 350 by that big number=850 So D

what is the slope of every line perpendicular to (0,1) and (2,-4)

Answers

Answer:

m=-[tex]\frac{-5}{2}[/tex]

Step-by-step explanation:

m = [tex]\frac{y{2}-y{1} }{x2-x1}[/tex]

[tex]m=\frac{-4-1}{2-0}[/tex]

[tex]m=\frac{-5}{2}[/tex]

Write the expression in complete factored form.
4b2(x + 2) + c(x + 2) =

Answers

Answer:4b+c2-x2=8

Step-by-step explanation:

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