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

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​

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Answer:

all of them

Step-by-step explanation:

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

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Answer:

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

Step-by-step explanation:

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]

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..

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

(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

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

please help asap question 3****

Answers

Answer:

answer is c

Step-by-step explanation:

C is the only one with the correct slope

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

Answers

The question is not clear at all

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:

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]

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

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.

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

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

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

Answers

Answer:4b+c2-x2=8

Step-by-step explanation:

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.

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

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.

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:

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

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.

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

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.

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

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

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

Solve for a.

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

Answers

Answer:

square root of 16

Step-by-step explanation:

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