Simplify the expressions below by using the rules of exponents. A.2^4 B.3^0 C.4^6∙4^(-3) D.(2^3 )^2 Answer:

Answers

Answer 1

Answer:

The three rules that we have are:

[tex]x^a*x^b = x^{a + b}[/tex]

[tex]\frac{x^a}{x^b} = x^{a - b}[/tex]

[tex](x^a)^b = x^{a*b}[/tex]

Then let's solve the problems:

A) 2^4 = 2^(2*2) = (2^2)^2 = 4^2 = 16.

B) 3^0 = 3^(a - a) = 3^a/3^a = 1. (for any real number a)

From this we can conclude that the power 0 of any number is equal to 1.

C)  4^6*4^(-3) = 4^(6 - 3) = 4^3 = 64

D) (2^3)^2 = 2^(3*2) = 2^6 = 64


Related Questions

Write the standard number for 800,000 + 4,000 + 600 + 40 + 2.
____________________________________________________________
I know nothing about this problem.

Answers

Answer:

804,642

Step-by-step explanation:

800,000 + 4,000 + 600 + 40 + 2.

Add the terms

804,642

Find f'(x) if f(x)=3x- 12

Answers

Answer:

4

Step-by-step explanation:

f(x) = 12 and f(x) = 3x

12/3 = 4 and the function for f(x) is 3(4)

The derivative of the function f(x) = 3x - 12 is 3.

What is a derivative ?

Derivative of a function measures the rate of change of a function it can also be defined as the slope of the function.If given dy/dx it states the rate of change of y with respect to x.

According to the given question we have find the first derivative of the function f(x) = 3x - 12.

Given f(x) = 3x - 12

f'(x) = 1(3)x¹⁻¹ + 0                             ( derivative of any constant is 0 )

f'(x) = 3x⁰.

f'(x) = 3.

learn more about derivative here :

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Solve the equation.
3/2y - 5 = -2

Answers

Answer:

y= 1/2 is the answer.

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

I NEED HELP ASAPPPP mŁABC = 117° → Find
mZCBD
D
C

Answers

Answer:

117-40=77

Step-by-step explanation:

Subtract 40 from 117 to get the answer

Write an equivalent expression for (3m - 6)(8m2 - 40m - 5).​

Answers

Answer:

24m3−168m2+225m+30

Step-by-step explanation:

(3m+−6)(8m2+−40m+−5)

=(3m)(8m2)+(3m)(−40m)+(3m)(−5)+(−6)(8m2)+(−6)(−40m)+(−6)(−5)

=24m3−120m2−15m−48m2+240m+30

=24m3−168m2+225m+30

A number b divided by -3 is greater than or
equal to 6.

Answers

Answer:

[tex]b/3\geq 6[/tex]

Step-by-step explanation:

Answer:

b[tex]\geq[/tex]-18

Step-by-step explanation:

[tex]\frac{b}{-3}[/tex] [tex]\geq[/tex] 6 Solve this just like there is an equal sign instead of [tex]\geq[/tex]

Multiply both sides by -3 to get b by itself: b[tex]\geq[/tex]-18

What is the equation of this line?

Answers

Answer:

y= 1/3x - 3

Step-by-step explanation:

The y-axis is -3

In order to find slope you do rise/run

What is the domain of the function f(x) = 3x + 4 + 1?
all real numbers
O all real numbers less than or equal to -4
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to -4

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A diver ascended 9/10 of a meter in 1/10 of a minute. What was the diver r
ate of ascent

Answers

Rate = distance / time.

Distance= 9/10

Time = 1/10

Rate = 9/10 divided by 1/10 which is 9.

9 meters per second.

540 meters per minute.

Find the x and y intercept of the following equation 4x-10y=20

Answers

For the given linear equation we have:

y-intercept: y = -2x-intercept: x = 5.

How to find the intercepts for the linear equation?

Here we have a linear equation:

4x -10y = 20

First, let's find the y-intercept, this is the point with x = 0, so evaluating in that we get:

4*0 - 10y = 20

-10y = 20

y = 20/-10

y = -2

The x-intercept is what we get by evaluating in y = 0.

4x - 10*0 = 20

x = 20/4

x = 5

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Change from inches to feet
48 inches=_____ feet​

Answers

Answer:

4 feet

Step-by-step explanation:

hi by the way.........

Answer:

4 feet

Step-by-step explanation:

There are 12 inches in 1 feet

48in/12 = 4 ft

Given f(x) = 2x2 -x + 3, find f(-2).

Answers

Answer:

is 2x2 multiplying them or is x the letter ?

Step-by-step explanation:

if multiplying: 4-(-2)+3 = 11

if the letter: 2(-2)2-(-2)+3 = -3

hope this helped :))

Solve for y: y/3=h.

Answers

Answer:

y= 3h

Step-by-step explanation:

make y the subject of the formular

find the slope
!! help pls

Answers

Answer: 3

Step-by-step explanation:

Answer:

Rise 3

Run 1

Step-by-step explanation:

help me please with geometry . I really need help or I won't graduate ​

Answers

PERIMETER IS ADDING ALL SIDES, AREA IS MULTIPLYING TWO SIDES

1. 2 1/9

2. 42.25

3. 4

4. 87

Answer:

perimeter is adding up all the outside line measures, so for the squares with only one side value, just multiply that by four

the other ones, for the measure given for one side, the opposite side is the same measure, so just add that up.  

so number one would be 9 and 1/3 (nine and one third)

Step-by-step explanation:

A boat travels upstream on the Mississippi river for 3.5 hours. The return trip only takes 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel upstream? Which is the best equation to use?

Answers

Answer:

17.5 miles per hour

Step-by-step explanation:

A boat travels upstream on a Mississippi river for 3.5 hours

The return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y represent the speed that was travelled upsteam

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream can be calculated as follows

= 3.5 × 5

= 17.5 miles per hour

Bob rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 75 cents for each mile driven. Bob had to pay $159.24
when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

1.87 miles

Step-by-step explanation:

[let's say x = how many miles]

18.99 + 75x = 159.24 [write out the equation]

-18.99 -18.99 [subtraction property of equality]

75x = 140.25

___ ____ [division property of equality]

75 75

x = 1.87

I hope this helps ! :)

Solve for X
Solve for X

Answers

x = 9

Work:
5x-3+48+90=180 (sum)
-3+48+90=135
135+5x=180
subtract 135 from 135 and 180 and that gives you 45
5x=45
divide each side by 5
x=9

Answer:

x=9*

Step-by-step explanation:

48*+(5x-3)*+90*=180*    (its is 180* because it is a line)

5x+135*=180*        (combine like terms)

-135*       -135*    (subtract 135*)

5x=45*       (divide by 5)

x=9*

dont mind the asterisks they are my degree signs

hope this helps

brainliest?

Factor 12z^2 - 6z + 42

Answers

Answer:

6(2z^2-z+7)

Step-by-step explanation:

I am doing Freshman Football and this is my first game I actually get to play. This is my first year and I am the return man. What should I do?

Answers

Answer:

you should get off the team

Step-by-step explanation:

cuz you do not know what to do

Answer:

honestly stay if you think you can do it

Step-by-step explanation:

don't do it if you don't want to

What is the diameter of this circle? 7.5 in. A. 3.75 in. B. 7.5 in. C. 15 in. D. 22.5​

Answers

Answer:

B.) 7.5

Step-by-step explanation:

I'm guessing that 7.5 is the radius. If so, the diameter is 15 in. because 7.5 + 7.5 = 15. The radius is half of the diameter.

what is 100,572×135,689

Answers

Answer:

13,646,514,108

I hope this helps!

I need help plz
I am back at my times so could you helpp
3 x 7
9 x 8
12 x 9
Thank you UwU

Answers

Answer:

1731996

Step-by-step explanation:

i think thats the answer if not sorry hopefully i helped <3

Answer:

I can help you!

Step-by-step explanation:

3x7 you should add #7 3 times. That would be 21

9x8 you should add #8 9 times. That would be 72

12x9 you should add #9 12 times. That would be 108

Hope it helped

Can someone help me

Answers

[tex]f(x) = {2}^{x} [/tex]

You can answer them yourself but I like to help you to do it buddy.

Let's go....

[tex]f(1) = {2}^{1} = 2 [/tex]

[tex]f(2) = {2}^{2} = 4 [/tex]

[tex]f(3) = {2}^{3} = 8 [/tex]

[tex]f(4) = {2}^{4} = 16 [/tex]

[tex]f(5) = {2}^{5 } = 32 [/tex]

[tex]f(6) = {2}^{6} = 64 [/tex]

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Which values of a, b, and c correctly complete the division? One-fourth divided by StartFraction 5 Over 6 EndFraction = StartFraction 1 Over a EndFraction times StartFraction b Over c EndFraction a = 4, b = 5, c = 6 a = 1, b = 6, c = 5 a = 1, b = 5, c = 6 a = 4, b = 6, c = 5

Answers

Answer:

a = 4, b = 6 and c = 5

Step-by-step explanation:

It is given that,

[tex]\dfrac{\dfrac{1}{4}}{\dfrac{5}{6}}=\dfrac{1}{a}\times \dfrac{b}{c}[/tex]

We know that,

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{1}{4}\times \dfrac{6}{5}=\dfrac{1}{a}\times \dfrac{b}{c}[/tex]

If we compare both sides of the equation we get,

a = 4, b = 6 and c = 5

Hence, these are the values of a,b and c.

Answer:

The simple and easy answer is D

Step-by-step explanation:

URGENT:
Solve this literal equation!
ax + b = c for a

Answers

Answer:

A=[tex]\frac{C-B}{X}[/tex]

Step-by-step explanation:

Subtract both sides with B

AX=C-B

Divide both sides by X to get A alone.

A=[tex]\frac{C-B}{X}[/tex]

Use the distributive property to simplify the following expression:
1/3 (9-6n)

Answers

Answer:

3 - 2n

Step-by-step explanation:

f = 2/t + 5 for t


PLS HELP I NEED TO TURN IT IN TODAY

Answers

F = 2 /t + 5

t = 2 /F − 5

I need to write this in standard form

Answers

Answer:

10f+7g-9

Step-by-step explanation:

(10f-6+5g)-(-2g+3)

(10f-6+5g)+(2g-3)

(10f)+(5g+2g)+(-6-3)

10f+7g-9

What is the best estimate for ?

5.75
6.25
7.5
8.1

Answers

Answer:

The answer is 6.25

Step-by-step explanation:

Root 38 is exactly 6.16441400297. That number estimated would be 6.20 since 6.16 is close to 6.20. The closest number to 6.20 is 6.25.

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